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## Go Math Grade 6 Chapter 5 Model Percents Answer Key

Step by step explanation is included in the Go Math Grade 6 Chapter 5 Model Percents Solution Key. Use all the concepts explanation to learn the maths in an easy way. The now who use Go Math Grade 6 Chapter 5 Model Percents Answer Key can get the good score in the exam with the best percentage of marks.

**Lesson 1: Investigate • Model Percents**

- Model Percents – Page No. 271
- Model Percents – Page No. 272
- Model Percents – Page No. 273
- Model Percents Lesson Check – Page No. 274

**Lesson 2: Write Percents as Fractions and Decimals**

- Write Percents as Fractions and Decimals – Page No. 277
- Write Percents as Fractions and Decimals – Page No. 278
- Write Percents as Fractions and Decimals – Page No. 279
- Write Percents as Fractions and Decimals Lesson Check – Page No. 280

**Lesson 3: Write Fractions and Decimals as Percents**

- Write Fractions and Decimals as Percents – Page No. 283
- Write Fractions and Decimals as Percents – Page No. 284
- Write Fractions and Decimals as Percents – Page No. 285
- Write Fractions and Decimals as Percents Lesson Check – Page No. 286

**Mid-Chapter Checkpoint**

**Lesson 4: Percent of a Quantity**

- Percent of a Quantity – Page No. 290
- Percent of a Quantity – Page No. 291
- Percent of a Quantity – Page No. 292
- Percent of a Quantity – Page No. 293
- Percent of a Quantity Lesson Check – Page No. 294

**Lesson 5: Problem Solving • Percents**

- Percents – Page No. 297
- Percents – Page No. 298
- Percents – Page No. 299
- Percents Lesson Check – Page No. 300

**Lesson 6: Find the Whole from a Percent**

- Find the Whole from a Percent – Page No. 303
- Find the Whole from a Percent – Page No. 304
- Find the Whole from a Percent – Page No. 305
- Find the Whole from a Percent Lesson Check – Page No. 306

**Chapter 5 Review/Test**

- Review/Test – Page No. 307
- Review/Test – Page No. 308
- Review/Test – Page No. 309
- Review/Test – Page No. 310
- Review/Test – Page No. 311
- Review/Test – Page No. 312

### Share and Show – Page No. 271

**Write a ratio and a percent to represent the shaded part.**

Question 1.

Type below:

_____________

Answer:

53% and \(\frac{53}{100}\)

Explanation:

53 squares are shaded out of 100.

So, 53% and 35/100 are the answers.

Question 2.

Type below:

_____________

Answer:

1% and \(\frac{100}{100}\)

Explanation:

100 out of 100 squares are shaded

So, So, 1% and 100/100 are the answers.

Question 3.

Type below:

_____________

Answer:

40% and \(\frac{40}{100}\)

Explanation:

40 squares are shaded out of 100.

So, 40% and 40/100 are the answers.

**Model the percent and write it as a ratio.**

Question 4.

30%

\(\frac{□}{□}\)

Answer:

Explanation:

30% is 30 out of 100

30 out of 100 squares is 30/100

30% = \(\frac{30}{100}\)

Question 5.

5%

\(\frac{□}{□}\)

Answer:

Explanation:

5% is 5 out of 100

5 out of 100 squares is 5/100

5% = \(\frac{5}{100}\)

Question 6.

75%

\(\frac{□}{□}\)

Answer:

Explanation:

75% is 75 out of 100

75 out of 100 squares is 75/100

75% = \(\frac{75}{100}\)

**Problem Solving + Applications**

Question 7.

Use a Concrete Model Explain how to model 32% on a 10-by-10 grid. How does the model represent the ratio of 32 to 100?

Type below:

_____________

Answer:

**Percentage Questions for Grade 6 Question 8.**

A floor has 100 tiles. There are 24 black tiles and 35 brown tiles. The rest of the tiles are white. What percent of the tiles are white?

_______ %

Answer:

41%

Explanation:

A floor has 100 tiles. There are 24 black tiles and 35 brown tiles.

24 + 35 = 59

100 – 59 = 41 tiles are white

41 tiles out of 100 are white tiles

### Pose a Problem – Page No. 272

Question 9.

Javier designed a mosaic wall mural using 100 tiles in 3 different colors: yellow, blue, and red. If 64 of the tiles are yellow, what percent of the tiles are either red or blue?

To find the number of tiles that are either red or blue, count the red and blue squares. Or subtract the number of yellow squares, 64, from the total number of squares, 100.

36 out of 100 tiles are red or blue.

The ratio of red or blue tiles to all tiles is \(\frac{36}{100}\).

So, the percent of the tiles that are either red or blue is 36%.

Write another problem involving a percent that can be solved by using the mosaic wall mural.

Type below:

_____________

Answer:

Sam designed a mosaic wall mural using 100 squares using two colors. She represented the squares with red and blue colors. She has 54 red tiles. What percent of other tiles she can use with blue color?

100 – 54 = 46 blue tiles.

Question 10.

Select the 10-by-10 grids that model 45%. Mark all that apply.

Options:

a.

b.

c.

d.

e.

Answer:

a.

c.

e.

### Model Percents – Page No. 273

**Write a ratio and a percent to represent the shaded part.**

Question 1.

Type below:

_____________

Answer:

31% and \(\frac{31}{100}\)

Explanation:

31 squares are shaded out of 100.

So, 31% and 31/100 are the answers.

Question 2.

Type below:

_____________

Answer:

70% and \(\frac{70}{100}\)

Explanation:

70 squares are shaded out of 100.

So, 70% and 70/100 are the answers.

Question 3.

Type below:

_____________

Answer:

48% and \(\frac{48}{100}\)

Explanation:

48 squares are shaded out of 100.

So, 48% and 48/100 are the answers.

**Model the percent and write it as a ratio.**

Question 4.

97%

\(\frac{□}{□}\)

Answer:

Explanation:

97% is 97 out of 100

97 out of 100 squares is 97/100

97% = \(\frac{97}{100}\)

Question 5.

24%

\(\frac{□}{□}\)

Answer:

Explanation:

24% is 24 out of 100

24 out of 100 squares is 24/100

24% = \(\frac{24}{100}\)

Question 6.

50%

\(\frac{□}{□}\)

Answer:

Explanation:

50% is 50 out of 100

50 out of 100 squares is 50/100

50% = \(\frac{50}{100}\)

**Problem Solving**

**The table shows the pen colors sold at the school supply store one week. Write the ratio comparing the number of the given color sold to the total number of pens sold. Then shade the grid.**

Question 7.

Black

\(\frac{□}{□}\)

Answer:

\(\frac{49}{100}\)

Explanation:

The total number of pens sold = 36 + 49 + 15 = 100

Black : total number of pens sold = 49:100

49 out of 100 squares need to shade the grid

Question 8.

Not Blue

\(\frac{□}{□}\)

Answer:

\(\frac{64}{100}\)

Explanation:

Not Blue = Black + Red = 49 + 15 = 64

Question 9.

Is every percent a ratio? Is every ratio a percent? Explain.

Type below:

_____________

Answer:

Every percent is a ratio but not all ratios are percent. All ratios can be expressed as percents, decimals, or fractions or in ratio form.

### Lesson Check – Page No. 274

Question 1.

What percent of the large square is shaded?

_______ %

Answer:

63%

Explanation:

63 squares are shaded out of 100.

So, 63% and 63/100 are the answers.

Question 2.

Write a ratio to represent the shaded part.

\(\frac{□}{□}\)

Answer:

\(\frac{10}{100}\)

Explanation:

63 squares are shaded out of 100.

63/100 is the answer.

**Spiral Review**

Question 3.

Write a number that is less than −2 \(\frac{4}{5}\) and greater than −3 \(\frac{1}{5}\).

Type below:

_____________

Answer:

-2.9, -3.0, -3.1

Explanation:

−2 \(\frac{4}{5}\) = -14/5 = -2.8

−3 \(\frac{1}{5}\) = -16/5 = -3.2

-2.9, -3.0, -3.1 are the numbers less than −2 \(\frac{4}{5}\) and greater than −3 \(\frac{1}{5}\)

Question 4.

On a coordinate grid, what is the distance between (2, 4) and (2, –3)?

_______ units

Answer:

7 units

Explanation:

|-3| = 3

4+ 0 = 4; 0 + 3 = 3

4 + 3 = 7

Question 5.

Each week, Diana spends 4 hours playing soccer and 6 hours babysitting. Write a ratio to compare the time Diana spends playing soccer to the time she spends babysitting.

\(\frac{□}{□}\)

Answer:

\(\frac{2}{3}\)

Explanation:

Each week, Diana spends 4 hours playing soccer and 6 hours babysitting.

The ratio to compare the time Diana spends playing soccer to the time she spends babysitting is 4:6 or 4/6 = 2/3

Question 6.

Antwone earns money at a steady rate mowing lawns. The points (1, 25) and (5, 125) appear on a graph of the amount earned versus number of lawns mowed. What are the coordinates of the point on the graph with an x-value of 3?

Type below:

_____________

Answer:

(3, 75)

Explanation:

y2-y1/x2-x1.

Y2 is 125, Y1 is 25, X2 is 5, and X1 is 1.

You then plug the numbers in, 125-25=100. 5-1=4.

Then you divide 100/4, in which you get 25. So you time 25 by 3, getting 75.

### Share and Show – Page No. 277

**Write the percent as a fraction.**

Question 1.

80%

\(\frac{□}{□}\)

Answer:

\(\frac{80}{100}\)

Explanation:

80% is 80 out of 100

80 out of 100 squares is 80/100

Question 2.

150%

______ \(\frac{□}{□}\)

Answer:

1\(\frac{1}{2}\)

Explanation:

150% is 150 out of 100

150 out of 100 squares is 150/100 = 3/2 = 1 1/2

Question 3.

0.2%

\(\frac{□}{□}\)

Answer:

\(\frac{2}{1,000}\)

Explanation:

0.2% is 0.2 out of 100

0.2 out of 100 squares is 0.2/100 = 2/1,000

**Write the percent as a decimal.**

Question 4.

58%

______

Answer:

0.58

Explanation:

58% is 58 out of 100

58 out of 100 squares is 58/100

58/100 = 0.58

Question 5.

9%

______

Answer:

0.09

Explanation:

9% is 9 out of 100

9 out of 100 squares is 9/100

9/100 = 0.09

**On Your Own**

**Write the percent as a fraction or mixed number.**

Question 6.

17%

\(\frac{□}{□}\)

Answer:

\(\frac{17}{100}\)

Explanation:

17% is 17 out of 100

17 out of 100 squares is 17/100

Question 7.

20%

\(\frac{□}{□}\)

Answer:

\(\frac{1}{5}\)

Explanation:

20% is 20 out of 100

20 out of 100 squares is 20/100 = 2/10 = 1/5

Question 8.

125%

______ \(\frac{□}{□}\)

Answer:

1\(\frac{1{4}\)

Explanation:

125% is 125 out of 100

125 out of 100 squares is 125/100 = 1 1/4

Question 9.

355%

______ \(\frac{□}{□}\)

Answer:

3\(\frac{11}{20}\)

Explanation:

355% is 355 out of 100

355 out of 100 squares is 355/100 = 3 11/20

Question 10.

0.1%

\(\frac{□}{□}\)

Answer:

\(\frac{1}{1,000}\)

Explanation:

0.1% is 0.1 out of 100

0.1 out of 100 squares is 0.1/100 = 1/1,000

Question 11.

2.5%

\(\frac{□}{□}\)

Answer:

\(\frac{1}{40}\)

Explanation:

2.5% is 2.5 out of 100

2.5 out of 100 squares is 2.5/100 = 25/1,000 = 1/40

**Write the percent as a decimal.**

Question 12.

89%

______

Answer:

0.89

Explanation:

89% is 89 out of 100

89 out of 100 squares is 89/100

89/100 = 0.89

Question 13.

30%

______

Answer:

0.3

Explanation:

30% is 30 out of 100

30 out of 100 squares is 30/100

30/100 = 0.3

Question 14.

2%

______

Answer:

0.02

Explanation:

2% is 2 out of 100

2 out of 100 squares is 2/100

2/100 = 0.02

Question 15.

122%

______

Answer:

1.22

Explanation:

122% is 122 out of 100

122 out of 100 squares is 122/100

122/100 = 1.22

Question 16.

3.5%

______

Answer:

0.035

Explanation:

3.5% is 3.5 out of 100

3.5 out of 100 squares is 3.5/100

3.5/100 = 0.035

**Write Percents as Fractions and Decimals Lesson 5.2 Answer Key Go Math Question 17.**

6.33%

______

Answer:

0.0633

Explanation:

6.33% is 6.33 out of 100

6.33 out of 100 squares is 6.33/100

6.33/100 = 0.0633

Question 18.

Use Reasoning Write <, >, or =.

21.6% ______ \(\frac{1}{5}\)

Answer:

21.6% > \(\frac{1}{5}\)

Explanation:

1/5 × 100/100 = 100/500 = 0.2/100 = 0.2%

21.6% > 0.2%

Question 19.

Georgianne completed 60% of her homework assignment. Write the portion of her homework that she still needs to complete as a fraction.

\(\frac{□}{□}\)

Answer:

\(\frac{2}{5}\)

Explanation:

Georgianne completed 60% of her homework assignment.

60/100

She needs to complete 40% of her homework = 40/100 = 2/5

### Problem Solving + Applications – Page No. 278

**Use the table for 20 and 21.**

Question 20.

What fraction of computer and video game players are 50 years old or more?

\(\frac{□}{□}\)

Answer:

\(\frac{13}{50}\)

Explanation:

computer and video game players,

50 or more are of 26% = 26/100 = 13/50

Question 21.

What fraction of computer and video game players are 18 years old or more?

\(\frac{□}{□}\)

Answer:

\(\frac{49}{100}\)

Explanation:

18 years old or more are of 49% = 49/100

Question 22.

Box A and Box B each contain black tiles and white tiles. They have the same total number of tiles. In Box A, 45% of the tiles are black. In Box B, \(\frac{11}{20}\) of the tiles are white. Compare the number of black tiles in the boxes. Explain your reasoning.

Type below:

_____________

Answer:

In Box A, 45% of the tiles are black.

In Box B, \(\frac{11}{20}\) of the tiles are white.

11/20 = 0.55 = 55/100 = 55%

100 – 55 = 45%

Both Box A and Box B have an equal number of black tiles

Question 23.

Mr. Truong is organizing a summer program for 6th grade students. He surveyed students to find the percent of students interested in each activity. Complete the table by writing each percent as a fraction or decimal.

Type below:

_____________

Answer:

Sports = 48% = 48/100 = 0.48

Cooking = 23% = 23/100

Music = 20% = 20/100

Art = 9% = 9/100 = 0.09

### Write Percents as Fractions and Decimals – Page No. 279

**Write the percent as a fraction or mixed number.**

Question 1.

44%

\(\frac{□}{□}\)

Answer:

\(\frac{11}{25}\)

Explanation:

44% is 44 out of 100

44 out of 100 squares is 44/100 = 11/25

Question 2.

32%

\(\frac{□}{□}\)

Answer:

\(\frac{8}{25}\)

Explanation:

32% is 32 out of 100

32 out of 100 squares is 32/100 = 8/25

**Write Percents as Fractions and Decimals Lesson 5.2 Answer Key Question 3.**

116%

______ \(\frac{□}{□}\)

Answer:

1 \(\frac{4}{25}\)

Explanation:

116% is 116 out of 100

116 out of 100 squares is 116/100 = 1 4/25

Question 4.

250%

______ \(\frac{□}{□}\)

Answer:

2\(\frac{1}{2}\)

Explanation:

250% is 250 out of 100

250 out of 100 squares is 250/100 = 2 1/2

Question 5.

0.3%

\(\frac{□}{□}\)

Answer:

\(\frac{3}{1,000}\)

Explanation:

0.3% is 0.3 out of 100

0.3 out of 100 squares is 0.3/100

3/1,000

Question 6.

0.4%

\(\frac{□}{□}\)

Answer:

\(\frac{1}{250}\)

Explanation:

0.4% is 0.4 out of 100

0.4 out of 100 squares is 0.4/100 = 4/1,000 = 1/250

Question 7.

1.5%

\(\frac{□}{□}\)

Answer:

\(\frac{3}{200}\)

Explanation:

1.5% is 1.5 out of 100

1.5 out of 100 squares is 1.5/100 = 15/1,000 = 3/200

Question 8.

12.5%

\(\frac{□}{□}\)

Answer:

\(\frac{1}{8}\)

Explanation:

12.5% is 12.5 out of 100

12.5 out of 100 squares is 12.5/100 = 125/1,000 = 25/200 = 5/40 = 1/8

**Write the percent as a decimal.**

Question 9.

63%

______

Answer:

0.63

Explanation:

63% is 63 out of 100

63 out of 100 squares is 63/100

63/100 = 0.63

Question 10.

110%

______

Answer:

1.1

Explanation:

110% is 110 out of 100

110 out of 100 squares is 110/100 = 1.1

Question 11.

42.15%

______

Answer:

0.4215

Explanation:

42.15% is 42.15 out of 100

42.15 out of 100 squares is 42.15/100 = 0.4215

Question 12.

0.1%

______

Answer:

0.001

Explanation:

0.1% is 0.1 out of 100

0.1 out of 100 squares is 0.1/100 = 0.001

**Problem Solving**

Question 13.

An online bookstore sells 0.8% of its books to foreign customers. What fraction of the books are sold to foreign customers?

\(\frac{□}{□}\)

Answer:

\(\frac{1}{125}\)

Explanation:

An online bookstore sells 0.8% of its books to foreign customers.

0.8% = 0.8/100 = 8/1,000 = 1/125

Question 14.

In Mr. Klein’s class, 40% of the students are boys. What decimal represents the portion of the students that are girls?

______

Answer:

0.4

Explanation:

In Mr. Klein’s class, 40% of the students are boys.

40/100 = 0.4

Question 15.

Explain how percents, fractions, and decimals are related. Use a 10-by-10 grid to make a model that supports your explanation.

Type below:

_____________

Answer:

53 squares are shaded out of 100.

53% or \(\frac{53}{100}\) or 0.53

### Lesson Check – Page No. 280

Question 1.

The enrollment at Sonya’s school this year is 109% of last year’s enrollment. What decimal represents this year’s enrollment compared to last year’s?

______

Answer:

1.09 represents this year’s enrollment compared to last year’s

Explanation:

The enrollment at Sonya’s school this year is 109% of last year’s enrollment.

109% = 109/100 = 1.09

Question 2.

An artist’s paint set contains 30% watercolors and 25% acrylics. What fraction represents the portion of the paints that are watercolors or acrylics? Write the fraction in simplest form.

\(\frac{□}{□}\)

Answer:

\(\frac{11}{20}\)

Explanation:

An artist’s paint set contains 30% watercolors and 25% acrylics.

30 + 25 = 55% = 55/100 = 11/20

**Spiral Review**

Question 3.

Write the numbers in order from least to greatest.

-5.25 1.002 -5.09

Type below:

_____________

Answer:

-5.25, -5.09, 1.002

Question 4.

On a coordinate plane, the vertices of a rectangle are (2, 4), (2, −1), (−5, −1), and ( −5, 4). What is the perimeter of the rectangle?

______ units

Answer:

24 units

Explanation:

(2, 4) to (2, −1) is 4 + 1 = 5

(2, −1) to (−5, −1) is 2 + 5 = 7

5 + 7 + 5 + 7 = 24

Question 5.

The table below shows the widths and lengths, in feet, for different playgrounds. Which playgrounds have equivalent ratios of width to length?

Type below:

_____________

Answer:

12/20 and 16.5/27.5 are equal

Explanation:

12/20 = 0.6

15/22.5 = 0.666

20/25 = 0.8

16.5/27.5 = 0.6

Question 6.

What percent represents the shaded part?

_______ %

Answer:

85%

Explanation:

85 squares are shaded out of 100.

85%

### Share and Show – Page No. 283

**Write the fraction or decimal as a percent.**

Question 1.

\(\frac{3}{25}\)

_______ %

Answer:

12%

Explanation:

3/25 ÷ 25/25 = 0.12/1 = 12/100 = 12%

Question 2.

\(\frac{3}{10}\)

_______ %

Answer:

30%

Explanation:

3/10 ÷ 10/10 = 0.3 = 0.3 × 100/100 = 30/100 = 30%

Question 3.

0.717

_______ %

Answer:

71.7%

Explanation:

0.717 = 717/100 = 71.7%

Question 4.

0.02

_______ %

Answer:

2%

Explanation:

0.02 = 2/100 = 2%

**On Your Own**

**Write the number in two other forms ( fraction, decimal, or percent). Write the fraction in simplest form.**

Question 5.

0.01

Type below:

_____________

Answer:

1% and \(\frac{1}{100}\)

Explanation:

0.01 as a fraction 1/100

0.01 as percent 1%

Question 6.

\(\frac{13}{40}\)

Type below:

_____________

Answer:

0.325 and 32.5%

Explanation:

\(\frac{13}{40}\) as decimal 0.325

\(\frac{13}{40}\) as percent 32.5/100 = 32.5%

Question 7.

\(\frac{6}{5}\)

Type below:

_____________

Answer:

1.2 and 120%

Explanation:

\(\frac{6}{5}\) as decimal 1.2

\(\frac{6}{5}\) as percent 120/100 = 120%

Question 8.

0.08

Type below:

_____________

Answer:

8% and \(\frac{8}{100}\)

Explanation:

0.08 as a fraction 8/100

0.08 as percent 8%

**The table shows the portion of Kim’s class that participates in each sport. Use the table for 9–10.**

Question 9.

Do more students take part in soccer or in swimming? Explain your reasoning.

Type below:

_____________

Answer:

Soccer = 1/5 = 0.2

Swimming = 0.09

0.2 > 0.09

more students take part in Soccer

Question 10.

Explain What percent of Kim’s class participates in one of the sports listed? Explain how you found your answer

_______ %

Answer:

23%

Explanation:

Kim’s class participates in Baseball which is mentioned at 23%

**Write Fractions and Decimals as Percents Lesson 5.3 Answer Key Question 11.**

For their reading project, students chose to either complete a character study or write a book review. \(\frac{1}{5}\) of the students completed a character study, and 0.8 of the students wrote a book review. Joia said that more students wrote a book review than completed a character study. Do you agree with Joia? Use numbers and words to support your answer

Type below:

_____________

Answer:

1/5 = 0.2

0.2 < 0.8

More students completed writing a book review.

I agree with Joia

### Sand Sculptures – Page No. 284

Every year, dozens of teams compete in the U.S. Open Sandcastle Competition. Recent winners have included complex sculptures in the shape of flowers, elephants, and racing cars.

Teams that participate in the contest build their sculptures using a mixture of sand and water. Finding the correct ratios of these ingredients is essential for creating a stable sculpture.

The table shows the recipes that three teams used. Which team used the greatest percent of sand in their recipe?

Convert to percents. Then order from least to greatest.

From least to greatest, the percents are 75%, 84%, 95%.

So, Team B used the greatest percent of sand.

Solve.

Question 12.

Which team used the greatest percent of water in their recipe?

Type below:

_____________

Answer:

Team A used the greatest percent of water in their recipe

Explanation:

Team A, 10/10+30 = 10/40 = 0.25 = 25%

Team B, 1/20 × 5/5 = 5/100 = 5%

Team C, 0.16 = 16%

Question 13.

Some people say that the ideal recipe for sand sculptures contains 88.9% sand. Which team’s recipe is closest to the ideal recipe?

Type below:

_____________

Answer:

Team C

Question 14.

Team D used a recipe that consisted of 20 cups of sand, 2 cups of flour, and 3 cups of water. How does the percent of sand in Team D’s recipe compare to that of the other teams?

Type below:

_____________

Answer:

Total number of cups together = 20 + 2+ 3 =25 cups

20/25 × 100 = 80/100 = 80%

### Write Fractions and Decimals as Percents – Page No. 285

**Write the fraction or decimal as a percent.**

Question 1.

\(\frac{7}{20}\)

_______ %

Answer:

35%

Explanation:

7/20 = 0.35 = 35%

Question 2.

\(\frac{3}{50}\)

_______ %

Answer:

6%

Explanation:

3/50 = 0.06 = 6%

Question 3.

\(\frac{1}{25}\)

_______ %

Answer:

4%

Explanation:

1/25 = 0.04 = 4%

Question 4.

\(\frac{5}{5}\)

_______ %

Answer:

0.01%

Explanation:

5/5 = 1 = 0.01%

Question 5.

0.622

_______ %

Answer:

6.22%

Explanation:

0.622 = 6.22/100 = 6.22%

Question 6.

0.303

_______ %

Answer:

3.03%

Explanation:

0.303 = 3.03/100 = 3.03%

Question 7.

0.06

_______ %

Answer:

6%

Explanation:

0.06 = 6/100 = 6%

Question 8.

2.45

_______ %

Answer:

245%

Explanation:

2.45 × 100/100 = 245/100 = 245%

**Write the number in two other forms (fraction, decimal, or percent). Write the fraction in simplest form**

Question 9.

\(\frac{19}{20}\)

Type below:

_____________

Answer:

0.95 and 95%

Explanation:

\(\frac{19}{20}\) as a decimal 0.95

\(\frac{19}{20}\) as a percentage 95%

Question 10.

\(\frac{9}{16}\)

Type below:

_____________

Answer:

0.5625 and 56.25%

Explanation:

\(\frac{9}{16}\) as a decimal 0.5625

\(\frac{9}{16}\) as a percentage 56.25%

Question 11.

0.4

Type below:

_____________

Answer:

\(\frac{2}{5}\) and 40%

Explanation:

0.4 as a fraction 2/5

0.4 as a percentage 40/100 = 40%

Question 12.

0.22

Type below:

_____________

Answer:

\(\frac{11}{50}\) and 22%

Explanation:

0.22 as a fraction 11/50

0.22 as a percentage 22/100 = 22%

**Problem Solving**

Question 13.

According to the U.S. Census Bureau, \(\frac{3}{25}\) of all adults in the United States visited a zoo in 2007. What percent of all adults in the United States visited a zoo in 2007?

_______ %

Answer:

12%

Explanation:

According to the U.S. Census Bureau, \(\frac{3}{25}\) of all adults in the United States visited a zoo in 2007.

\(\frac{3}{25}\) = 0.12 = 12%

Question 14.

A bag contains red and blue marbles. Given that \(\frac{17}{20}\) of the marbles are red, what percent of the marbles are blue?

_______ %

Answer:

15%

Explanation:

The total number of marbles = 20

If 17 marbles are red, the remaining 3 marbles out of 20 are blue marbles

3/20 = 0.15 = 15%

Question 15.

Explain two ways to write \(\frac{4}{5}\) as a percent.

Type below:

_____________

Answer:

Decimal =0.8.

Percentage =80%

Explanation:

4/5 = 0.8 = 80/100 = 80%

### Lesson Check – Page No. 286

Question 1.

The portion of shoppers at a supermarket who pay by credit card is 0.36. What percent of shoppers at the supermarket do NOT pay by credit card?

_______ %

Answer:

36%

Explanation:

The portion of shoppers at a supermarket who pay by credit card is 0.36.

0.36 = 0.36 × 100/100 = 36/100 = 36%

Question 2.

About \(\frac{23}{40}\) of a lawn is planted with Kentucky bluegrass. What percent of the lawn is planted with Kentucky bluegrass?

_______ %

Answer:

57.5%

Explanation:

About \(\frac{23}{40}\) of a lawn is planted with Kentucky bluegrass.

23/40 = 0.575 = 0.575 × 100/100 = 57.5/100 = 57.5%

**Spiral Review**

Question 3.

A basket contains 6 peaches and 8 plums. What is the ratio of peaches to total pieces of fruit?

Type below:

_____________

Answer:

6:14

Explanation:

total pieces of fruit 6 + 8 = 14

the ratio of peaches to total pieces of fruit is 6:14

Question 4.

It takes 8 minutes for 3 cars to move through a car wash. At the same rate, how many cars can move through the car wash in 24 minutes?

_______ cars

Answer:

9 cars

Explanation:

It takes 8 minutes for 3 cars to move through a car wash.

3/8 × 24 = 9 cars

Question 5.

A 14-ounce box of cereal sells for $2.10. What is the unit rate?

$ _______ per ounce

Answer:

$0.15 per ounce

Explanation:

$2.10/14 × 14/14 = $0.15 per ounce

Question 6.

A model railroad kit contains curved tracks and straight tracks. Given that 35% of the tracks are curved, what fraction of the tracks are straight? Write the fraction in simplest form.

\(\frac{□}{□}\)

Answer:

\(\frac{7}{20}\)

Explanation:

A model railroad kit contains curved tracks and straight tracks. Given that 35% of the tracks are curved,

35% = 35/100 = 7/20

### Vocabulary – Page No. 287

**Choose the best term from the box to complete the sentence.**

Question 1.

A _____ is a ratio that compares a quantity to 100.

Type below:

_____________

Answer:

percent

**Concepts and Skills**

**Write a ratio and a percent to represent the shaded part.**

Question 2.

Type below:

_____________

Answer:

17% and \(\frac{17}{100}\)

Explanation:

17 squares are shaded out of 100.

So, 17% and 17/100 are the answers.

Question 3.

Type below:

_____________

Answer:

60% and \(\frac{60}{100}\)

Explanation:

60 squares are shaded out of 100.

So, 60% and 60/100 are the answers.

Question 4.

Type below:

_____________

Answer:

7% and \(\frac{7}{100}\)

Explanation:

7 squares are shaded out of 100.

So, 7% and 7/100 are the answers.

Question 5.

Type below:

_____________

Answer:

11% and \(\frac{11}{100}\)

Explanation:

11 squares are shaded out of 100.

So, 11% and 11/100 are the answers.

Question 6.

Type below:

_____________

Answer:

82% and \(\frac{82}{100}\)

Explanation:

82 squares are shaded out of 100.

So, 82% and 82/100 are the answers.

Question 7.

Type below:

_____________

Answer:

36% and \(\frac{36}{100}\)

Explanation:

36 squares are shaded out of 100.

So, 36% and 36/100 are the answers.

**Write the number in two other forms (fraction, decimal, or percent).**

**Write the fraction in simplest form.**

Question 8.

0.04

Type below:

_____________

Answer:

\(\frac{1}{25}\) and 4%

Explanation:

0.04 as a fraction 4/100 = 1/25

0.04 as a decimal 0.04 × 100/100 = 4/100 = 4%

Question 9.

\(\frac{3}{10}\)

Type below:

_____________

Answer:

0.3 and 30%

Explanation:

\(\frac{3}{10}\) as a decimal 0.3

\(\frac{3}{10}\) as a percentage 0.3 × 100/100 = 30/100 = 30%

Question 10.

1%

Type below:

_____________

Answer:

\(\frac{1}{100}\) and 0.01

Explanation:

1% as a fraction 1/100

1% as a decimal 1/100 = 0.01

Question 11.

1 \(\frac{1}{5}\)

Type below:

_____________

Answer:

1.2 and 120%

Explanation:

1 \(\frac{1}{5}\) as a decimal = 6/5 = 1.2

1 \(\frac{1}{5}\) as a percentage 1.2 × 100/100 = 120/100 = 120%

Question 12.

0.9

Type below:

_____________

Answer:

\(\frac{90}{100}\) and 90%

Explanation:

0.9 as a fraction 0.9 × 100/100 = 90/100 = 90%

Question 13.

0.5%

Type below:

_____________

Answer:

\(\frac{5}{1,000}\) and 0.005

Explanation:

0.5% as a fraction = 0.5/100 = 5/1,000

0.5% as a decimal = 0.5/100 = 0.005

Question 14.

\(\frac{7}{8}\)

Type below:

_____________

Answer:

0.875 and 87.5%

Explanation:

\(\frac{7}{8}\) as a decimal 0.875

\(\frac{7}{8}\) as a percentage 87.5/100 = 87.5%

Question 15.

355%

Type below:

_____________

Answer:

\(\frac{71}{20}\) and 35.5

Explanation:

355% as a decimal 355/100 = 71/20 = 35.5

### Page No. 288

Question 16.

About \(\frac{9}{10}\) of the avocados grown in the United States are grown in California. About what percent of the avocados grown in the United States are grown in California?

_______ %

Answer:

90%

Explanation:

About \(\frac{9}{10}\) of the avocados grown in the United States are grown in California.

9/10 × 10/10 = 90/100 = 90%

Question 17.

Morton made 36 out of 48 free throws last season. What percent of his free throws did Morton make?

_______ %

Answer:

75%

Explanation:

Morton made 36 out of 48 free throws last season.

36/48 = 0.75 = 75/100 = 75%

Question 18.

Sarah answered 85% of the trivia questions correctly. What fraction describes this percent?

\(\frac{□}{□}\)

Answer:

\(\frac{17}{20}\)

Explanation:

Sarah answered 85% of the trivia questions correctly.

85% = 85/100 = 17/20

Question 19.

About \(\frac{4}{5}\) of all the orange juice in the world is produced in Brazil. About what percent of all the orange juice in the world is produced in Brazil?

_______ %

Answer:

80%

Explanation:

About \(\frac{4}{5}\) of all the orange juice in the world is produced in Brazil.

4/5 = 0.8 × 100/100 = 80/100 = 80%

Question 20.

If you eat 4 medium strawberries, you get 48% of your daily recommended amount of vitamin C. What fraction of your daily amount of vitamin C do you still need?

\(\frac{□}{□}\)

Answer:

\(\frac{13}{25}\)

Explanation:

If you eat 4 medium strawberries, you get 48% of your daily recommended amount of vitamin C.

48% = 48/100

100 – 48 = 52

52% = 52/100 = 13/25 of your daily amount of vitamin C do you still need

### Share and Show – Page No. 290

**Find the percent of the quantity.**

Question 1.

25% of 320

_______

Answer:

80

Explanation:

Write the percent as a rate per 100

25% = 25/100

25/100 × 320 = 80

Question 2.

80% of 50

_______

Answer:

40

Explanation:

Write the percent as a rate per 100

80% = 80/100

80/100 × 50 = 40

Question 3.

175% of 24

_______

Answer:

42

Explanation:

Write the percent as a rate per 100

175% = 175/100

175/100 × 24 = 42

Question 4.

60% of 210

_______

Answer:

126

Explanation:

Write the percent as a rate per 100

60% = 60/100

60/100 × 210 = 126

Question 5.

A jar contains 125 marbles. Given that 4% of the marbles are green, 60% of the marbles are blue, and the rest are red, how many red marbles are in the jar?

_______ marbles

Answer:

45 marbles

Explanation:

A jar contains 125 marbles.

4% of the marbles are green = 125 × 4/100 = 5

60% of the marbles are blue = 125 × 60/100 = 75

Red Marbles = Total Number of Marbles -[Number of Green Marbles + Number of Blue Marbles]

Red Marbles = 125 – (5 + 75) = 125 – 80 = 45

Question 6.

There are 32 students in Mr. Moreno’s class and 62.5% of the students are girls. How many boys are in the class?

_______ students

Answer:

12 students

Explanation:

There are 32 students in Mr. Moreno’s class

62.5% of the students are girls = 32 × 62.5/100 = 20

boys = 32 – 20 = 12

### On Your Own – Page No. 291

**Find the percent of the quantity.**

Question 7.

60% of 90

_______

Answer:

54

Explanation:

Write the percent as a rate per 100

60% = 60/100

60/100 × 90 = 54

Question 8.

25% of 32.4

_______

Answer:

8.1

Explanation:

Write the percent as a rate per 100

25% = 25/100

25/100 × 32.4 = 8.1

Question 9.

110% of 300

_______

Answer:

330

Explanation:

Write the percent as a rate per 100

110% = 110/100

110/100 × 300 = 330

Question 10.

0.2% of 6500

_______

Answer:

13

Explanation:

Write the percent as a rate per 100

0.2% = 0.2/100

0.2/100 × 6500 = 13

**Percent of a Quantity Lesson 5.4 Answer Key Question 11.**

A baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold. How many muffins were sold by noon?

_______ muffins

Answer:

27 muffins

Explanation:

A baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold.

60 × 45%

60 × 45/100 = 27

Question 12.

There are 30 treasures hidden in a castle in a video game. LaToya found 80% of them. How many of the treasures did LaToya find?

_______ treasures

Answer:

24 treasures

Explanation:

There are 30 treasures hidden in a castle in a video game.

LaToya found 80% of them.

30 × 80/100 = 24

Question 13.

A school library has 260 DVDs in its collection. Given that 45% of the DVDs are about science and 40% are about history, how many of the DVDs are about other subjects?

_______ DVDs

Answer:

39 DVDs

Explanation:

A school library has 260 DVDs in its collection.

45% of the DVDs are about science = 260 × 45/100 = 117

40% are about history = 260 × 40/100 = 104

other subjects = 260 – (117 + 104) = 260 – 221 = 39

Question 14.

Mitch planted cabbage, squash, and carrots on his 150-acre farm. He planted half the farm with squash and 22% with carrots. How many acres did he plant with cabbage?

_______ acres

Answer:

Explanation:

Mitch planted cabbage, squash, and carrots on his 150-acre farm.

He planted half the farm with squash 150/2 = 75

22% with carrots = 150 × 22/100 = 33

cabbage = 150 – (75 + 33) = 150 – 108 = 42

Question 15.

45% of 60 _______ 60% of 45

Answer:

45% of 60 = 60% of 45

Explanation:

45% of 60

45/100 × 60 = 27

60% of 45

60/100 × 45 = 27

45% of 60 = 60% of 45

Question 16.

10% of 90 _______ 90% of 100

Answer:

10% of 90 _______ 90% of 100

Explanation:

10% of 90

10/100 × 90 = 9

90% of 100

90/100 × 100 = 90

10% of 90 < 90% of 100

Question 17.

75% of 8 _______ 8% of 7.5

Answer:

75% of 8 > 8% of 7.5

Explanation:

75% of 8

75/100 × 8 = 6

8% of 7.5

8/100 × 7.5 = 0.6

75% of 8 > 8% of 7.5

Question 18.

Sarah had 12 free throw attempts during a game and made at least 75% of the free throws. What is the greatest number of free throws Sarah could have missed during the game?

_______ free throws

Answer:

3 free throws

Explanation:

Sarah had 12 free throw attempts during a game and made at least 75% of the free throws.

So, she missed 25% of the free throws.

12 × 25/100 = 3

Question 19.

Chrissie likes to tip a server in a restaurant a minimum of 20%. She and her friend have a lunch bill that is $18.34. Chrissie says the tip will be $3.30. Her friend says that is not a minimum of 20%. Who is correct? Explain.

Type below:

_____________

Answer:

100% = $18.34

10% = $18.34 / 10 = 1.834

20% = 1.834 × 2 = 3.66800 = $3.70

Her friend is correct because $3.70 is more than $3.30.

### Unlock The Problem – Page No. 292

Question 20.

One-third of the juniors in the Linwood High School Marching Band play the trumpet. The band has 50 members and the table shows what percent of the band members are freshmen, sophomores, juniors, and seniors. How many juniors play the trumpet?

a. What do you need to find?

Type below:

_____________

Answer:

The percent of band members are freshmen, sophomores, juniors, and seniors. How many juniors play the trumpet

Question 20.

b. How can you use the table to help you solve the problem?

Type below:

_____________

Answer:

percent of the band members that are Juniors: 24%

In 50 members of the band, 50×24/100 = 12 are Juniors. One-third of them play the trumpet, which makes 12×(1/3) = 4 members.

Question 20.

c. What operation can you use to find the number of juniors in the band?

Type below:

_____________

Answer:

percent of the band members that are Juniors: 24%

In 50 members of the band, 50×24/100 = 12 are Juniors.

Explanation:

Question 20.

d. Show the steps you use to solve the problem.

Type below:

_____________

Answer:

percent of the band members that are Juniors: 24%

Of 50 members of the band, 50×24/100 = 12 are Juniors. One-third of them play the trumpet, which makes 12×(1/3) = 4 members.

Question 20.

e. Complete the sentences.

The band has _____ members. There are _____ juniors in the band. The number of juniors who play the trumpet is _____.

Type below:

_____________

Answer:

The band has 50 members. There are 12 juniors in the band. The number of juniors who play the trumpet is 4.

Question 21.

Compare. Circle <, >, or =.

a. 25% of 44 Ο 20% of 50

b. 10% of 30 Ο 30% of 100

c. 35% of 60 Ο 60% of 35

25% of 44 _____ 20% of 50

10% of 30 _____ 30% of 100

35% of 60 _____ 60% of 35

Answer:

25% of 44 > 20% of 50

10% of 30 < 30% of 100

35% of 60 = 60% of 35

Explanation:

25% of 44 = 25/100 × 44 = 11

20% of 50 = 20/100 × 50 = 1000/100 = 10

25% of 44 > 20% of 50

10% of 30 = 10/100 × 30 = 3

30% of 100 = 30/100 × 100 = 30

10% of 30 < 30% of 100

35% of 60 = 35/100 × 60 = 21

60% of 35 = 60/100 × 35 = 21

35% of 60 = 60% of 35

### Percent of a Quantity – Page No. 293

**Find the percent of the quantity.**

Question 1.

60% of 140

_____

Answer:

84

Explanation:

60% of 140

60/100 × 140 = 84

Question 2.

55% of 600

_____

Answer:

330

Explanation:

55% of 600

55/100 × 600 = 330

Question 3.

4% of 50

_____

Answer:

2

Explanation:

4% of 50

4/100 × 50 = 2

Question 4.

10% of 2,350

_____

Answer:

235

Explanation:

10% of 2,350

10/100 × 2,350 = 235

Question 5.

160% of 30

_____

Answer:

48

Explanation:

160% of 30

160/100 × 30 = 48

Question 6.

105% of 260

_____

Answer:

273

Explanation:

105% of 260

105/100 × 260 = 273

Question 7.

0.5% of 12

_____

Answer:

0.06

Explanation:

0.5% of 12

0.5/100 × 12 = 0.06

Question 8.

40% of 16.5

_____

Answer:

6.6

Explanation:

40% of 16.5

40/100 × 16.5 = 6.6

**Problem Solving**

Question 9.

The recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg. A serving of a juice drink contains 60% of the recommended amount. How much vitamin C does the juice drink contain?

_____ mg

Answer:

27 mg

Explanation:

The recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg. A serving of a juice drink contains 60% of the recommended amount.

45% of 60 = 45/100 × 60 = 27

Question 10.

During a 60-minute television program, 25% of the time is used for commercials and 5% of the time is used for the opening and closing credits. How many minutes remain for the program itself?

_____ minutes

Answer:

42 minutes

Explanation:

60 minutes of tv

25% + 5% = 30%

30%= 0.30

60 times 0.30= 18

60-18=42

inly 42 minutes are used for the program itself

Question 11.

Explain two ways you can find 35% of 700.

Type below:

_____________

Answer:

First way

700 : 100 = x : 35

x = 700 × 35 : 100

x = 245

Second way

700 : 100 × 35 =

245

### Lesson Check – Page No. 294

Question 1.

A store has a display case with cherry, peach, and grapefruit chews. There are 160 fruit chews in the display case. Given that 25% of the fruit chews are cherry and 40% are peach, how many grapefruit chews are in the display case?

_____ grapefruit chews

Answer:

56 grapefruit chews

Explanation:

A store has a display case with cherry, peach, and grapefruit chews. There are 160 fruit chews in the display case. Given that, 25% of the fruit chews are cherry and 40% are peach,

25% + 40% +?% = 100%

65% + ?% = 100%

?% = 35%

.35×160 = 56

Question 2.

Kelly has a ribbon that is 60 inches long. She cuts 40% off the ribbon for an art project. While working on the project, she decided she only needed 75% of the piece she cut off. How many inches of ribbon does Kelly end up using for her project?

_____ inches

Answer:

18 inches

Explanation:

Length of ribbon = 60 inches

Part of ribbon cut off for an art project = 40%

So, the Length of the ribbon remains is given by

40% of 60 = 40/100 × 60 = 24

Part of a piece she only needs from cut off = 75%

so, the Length of ribbon she need end up using in her project is given by

75/100 × 24 = 18

**Spiral Review**

Question 3.

Three of the following statements are true. Which one is NOT true?

|−12| > 1 |0| > −4 |20| > |−10| 6 < |−3|

Type below:

_____________

Answer:

|−12| > 1

12 > 1; True

|0| > −4

0 > -4; True

|20| > |−10|

20 > 10; True

6 < |−3|

6 < 3; False

Question 4.

Miyuki can type 135 words in 3 minutes. How many words can she expect to type in 8 minutes?

_____ words

Answer:

360 words

Explanation:

Miyuki can type 135 words in 3 minutes.

135/3 = 45

45 × 8 = 360

Question 5.

Which percent represents the model?

_____ %

Answer:

63%

Explanation:

63 squares are shaded out of 100

63%

Question 6.

About \(\frac{3}{5}\) of the students at Roosevelt Elementary School live within one mile of the school. What percent of students live within one mile of the school?

_____ %

Answer:

60%

Explanation:

About \(\frac{3}{5}\) of the students at Roosevelt Elementary School live within one mile of the school.

3/5 × 100/100 = 60/100 = 60%

### Share and Show – Page No. 297

Question 1.

A geologist visits 40 volcanoes in Alaska and California. 15% of the volcanoes are in California. How many volcanoes does the geologist visit in California and how many in Alaska?

Type below:

_____________

Answer:

40 volcanoes = 100% of them

100 – 15% = 85%

Number of volcanoes in California = 15% of 40 volcanoes = 0.15 x 40 = 6

Number of volcanoes in Alaska = 85% of 40 volcanoes 0.85 x 40 = 34

Question 2.

What if 30% of the volcanoes were in California? How many volcanoes would the geologist have visited in California and how many in Alaska?

Type below:

_____________

Answer:

Number of volcanoes in California = 30% of 40 = 30/100 x 40 = 12

Number of volcanoes in Alaska = 70% of 40 = 70/100 x 40 = 28

Question 3.

Ricardo has $25 to spend on school supplies. He spends 72% of the money on a backpack and the rest on a large binder. How much does he spend on the backpack? How much does he spend on the binder?

Type below:

_____________

Answer:

$18 on Backpack $7 on binder.

If you turn the percent into a decimal .72 and multiply .72 by 25 you get 18 which is the cost of the backpack.

subtract 18 from 25 and you get $7 left meaning the binder was $7

Question 4.

Kevin is hiking on a trail that is 4.2 miles long. So far, he has hiked 80% of the total distance. How many more miles does Kevin have to hike in order to complete the trail?

Type below:

_____________

Answer:

0.84 miles

Explanation:

Kevin is hiking on a trail that is 4.2 miles long. So far, he has hiked 80% of the total distance.

80% of 4.2 = 80/100 x 4.2 = 3.36

4.2 – 3.36 = 0.84 miles

### On Your Own – Page No. 298

Question 5.

Jordan takes 50% of the cherries from a bowl. Then Mei takes 50% of the remaining cherries. Finally, Greg takes 50% of the remaining cherries. There are 3 cherries left. How many cherries were in the bowl before Jordan arrived?

_____ cherries

Answer:

24 cherries

Explanation:

Let total cherries in a bowl=x

Jordan takes cherries=50% of x = 50x/100

Remaining cherries = x – 50x/100 = x/2

Mei takes cherries=50% of 50x/100 = x/4

remaining cherries= x/2 – x/4 = x/4

Greg takes cherries=50% of x/4 = x/8

remaining cherries = x/4 – x/8 = x/8

Now, remaining cherries in a bowl = 3

x/8 =3

x = 8 × 3 = 24

Question 6.

Each week, Tasha saves 65% of the money she earns babysitting and spends the rest. This week she earned $40. How much more money did she save than spend this week?

$ _____

Answer:

Tasha saved $26 and spent $14

Explanation:

Since 65% of 40 is 26, that’s how much Tasha saves. Then do 40 – 26 to get 14, which is how much she spends.

So Tasha saved $26 and spent $14.

**Lesson 5 Practice Problems Answer Key Grade 6 Question 7.**

An employee at a state park has 53 photos of animals found at the park. She wants to arrange the photos in rows so that every row except the bottom row has the same number of photos. She also wants there to be at least 5 rows. Describe two different ways she can arrange the photos

Type below:

_____________

Answer:

5 rows of 10 photos and the last row with 3 photos,

6 rows of 8 photos and the last row with 5 photos,

7 rows of 7 photos and the last row with 4 photos,

Also, reverse the rows and photos in each row (ex 5 rows 10 photos=10 rows 5 photos) to get another 3 sets.

Question 8.

Explain a Method Maya wants to mark a length of 7 inches on a sheet of paper, but she does not have a ruler. She has pieces of wood that are 4 inches, 5 inches, and 6 inches long. Explain how she can use these pieces to mark a length of 7 inches.

Type below:

_____________

Answer:

Maya can put the 5 and 6-inch pieces together to get 11 inches. She can then subtract the length of the 4-inch piece to get 7 inches.

Question 9.

Pierre’s family is driving 380 miles from San Francisco to Los Angeles. On the first day, they drive 30% of the distance. On the second day, they drive 50% of the distance. On the third day, they drive the remaining distance and arrive in Los Angeles. How many miles did Pierre’s family drive each day? Write the number of miles in the correct box.

Type below:

_____________

Answer:

76 miles

Explanation:

Pierre’s family is driving 380 miles from San Francisco to Los Angeles.

On the first day, they drive 30% of the distance. 380 × 30/100 = 114

On the second day, they drive 50% of the distance. 380 × 50/100 = 190

They traveled 80%.

On the third day, they drive the remaining distance and arrive in Los Angeles.

380 × 20/100 = 76 miles

### Problem Solving Percents – Page No. 299

**Read each problem and solve.**

Question 1.

On Saturday, a souvenir shop had 125 customers. Sixty-four percent of the customers paid with a credit card. The other customers paid with cash. How many customers paid with cash?T

_____ costumers

Answer:

45 costumers

Explanation:

On Saturday, a souvenir shop had 125 customers. Sixty-four percent of the customers paid with a credit card.

125 × 64/100 = 80

100 – 64 = 36

125 × 36/100 = 45

Question 2.

A carpenter has a wooden stick that is 84 centimeters long. She cuts off 25% from the end of the stick. Then she cuts the remaining stick into 6 equal pieces. What is the length of each piece?

_____ cm

Answer:

10 1/2 cm

Explanation:

A carpenter has a wooden stick that is 84 centimeters long. She cuts off 25% from the end of the stick. Then she cuts the remaining stick into 6 equal pieces.

84 × 75/100 = 63

63/6 = 10 1/2

Question 3.

A car dealership has 240 cars in the parking lot and 17.5% of them are red. Of the other 6 colors in the lot, each color has the same number of cars. If one of the colors is black, how many black cars are in the lot?

_____ black cars

Answer:

33 black cars

Explanation:

number of red cars 17.5% × 240 = 42

number of cars of other colors = 240 – 42 = 198

number of black cars 1/6 × 198 = 33

Question 4.

The utilities bill for the Millers’ home in April was $132. Forty-two percent of the bill was for gas, and the rest was for electricity. How much did the Millers pay for gas, and how much did they pay for electricity?

Type below:

_____________

Answer:

Amount of money paid for gas = 132 * (42/100) dollars

= 5544/100 dollars

= 55.44 dollars

Then

The amount of money paid for electricity = (132 – 55.44) dollars

= 76.56 dollars

So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.

Question 5.

Andy’s total bill for lunch is $20. The cost of the drink is 15% of the total bill and the rest is the cost of the food. What percent of the total bill did Andy’s food cost? What was the cost of his food?

Type below:

_____________

Answer:

$17

Explanation:

Andy paid $20 total for his lunch (100%).

15% is for drink.

Therefore, 100 – 15 = 85% is the percent that was constituted by the food.

85% of 20 is equal to 0.85 × 20 is equal to:

17 × 20/20 = 17

Andy’s food cost $17.

Question 6.

Write a word problem that involves finding the additional amount of money needed to purchase an item, given the cost and the percent of the cost already saved.

Type below:

_____________

Answer:

Each week, Tasha saves 65% of the money she earns babysitting and spends the rest. This week she earned $40. How much more money did she save than spend this week?

Tasha saved $26 and spent $14

### Lesson Check – Page No. 300

Question 1.

Milo has a collection of DVDs. Out of 45 DVDs, 40% are comedies and the remaining are action-adventures. How many actionadventure DVDs does Milo own?

_____ DVDs

Answer:

27 DVDs

Explanation:

100%-40%=60%

60/100*45=27

27 DVD’s are action-adventure

Question 2.

Andrea and her partner are writing a 12-page science report. They completed 25% of the report in class and 50% of the remaining pages after school. How many pages do Andrea and her partner still have to write?

_____ pages

Answer:

9 pages

Explanation:

first 50% + 25% = 75%

then you can do 75% of 12

75% = 0.75

of = multiplication

0.75 • 12 which should equal 9

so they have 9 pages left

**Spiral Review**

Question 3.

What is the absolute value of \(\frac{-4}{25}\)?

\(\frac{□}{□}\)

Answer:

\(\frac{4}{25}\)

Explanation:

|\(\frac{-4}{25}\)| = 4/25

Question 4.

Ricardo graphed a point by starting at the origin and moving 5 units to the left. Then he moved up 2 units. What is the ordered pair for the point he graphed?

Type below:

_____________

Answer:

(-5, 2)

Explanation:

In a coordinate system, the coordinates of the origin are (0, 0).

If he moves 5 units to the left, he is moving in the negative direction along the x-axis, and x takes the value -5.

If he moves up 2 units, he is moving in the positive direction along the y-axis, and y takes the value 2.

The ordered pair (x, y) is (-5, 2).

Question 5.

The population of birds in a sanctuary increases at a steady rate. The graph of the population over time has the points (1, 105) and (3, 315). Name another point on the graph.

Type below:

_____________

Answer:

You could do (2, 210) or (4, 420) or (5, 525)

Question 6.

Alicia’s MP3 player contains 1,260 songs. Given that 35% of the songs are rock songs and 20% of the songs are rap songs, how many of the songs are other types of songs?

_____ songs

Answer:

567 songs

Explanation:

Since 55% of the songs are rock and rap, 45% of the songs are other.

To find 45% of 1260 we multiply by the decimal:

1260 x 0.45 = 567

Therefore 567 of the songs are other.

### Share and Show – Page No. 303

**Find the unknown value.**

Question 1.

9 is 25% of _____.

_____

Answer:

36

Explanation:

25/100 ÷ 25/25 = 1/4

1/4 = 9/s

1/4 × 9/9 = 9/36

the unknown value is 36

Question 2.

14 is 10% of _____.

_____

Answer:

140

Explanation:

10/100 ÷ 10/10 = 1/10

1/10 = 14/s

1/10 × 14/14 = 14/140

the unknown value is 140

Question 3.

3 is 5% of _____.

_____

Answer:

6

Explanation:

5/10 ÷ 5/5 = 1/2

1/2 × 3/3 = 3/6

the unknown value is 6

Question 4.

12 is 60% of _____.

_____

Answer:

20

Explanation:

60/100 ÷ 60/60 = 60/100

60/100 ÷ 5/5 = 12/20

the unknown value is 20

**On Your Own**

**Find the unknown value.**

Question 5.

16 is 20% of _____.

_____

Answer:

80

Explanation:

20/100 ÷ 20/20 = 1/5

1/5 × 16/16 = 16/80

the unknown value is 80

Question 6.

42 is 50% of _____.

_____

Answer:

84

Explanation:

50/100 ÷ 50/50 = 1/2

1/2 × 42/42 = 42/84

the unknown value is 84

Question 7.

28 is 40% of _____.

_____

Answer:

70

Explanation:

40/100 ÷ 40/40 = 1/2.5

1/2.5 × 28/28 = 28/70

the unknown value is 70

Question 8.

60 is 75% of _____.

_____

Answer:

80

Explanation:

75/100 ÷ 75/75 = 60/s

60 × 100 = 6000/75 = 80

the unknown value is 80

Question 9.

27 is 30% of _____.

_____

Answer:

90

Explanation:

30/100 ÷ 30/30 = 3/10

3/10 × 9/9 = 27/90

the unknown value is 90

Question 10.

21 is 60% of _____.

_____

Answer:

35

Explanation:

60/100 ÷ 60/60 = 3/5

3/5 × 7/7 = 21/35

the unknown value is 35

Question 11.

12 is 15% of _____.

_____

Answer:

80

Explanation:

15/100 ÷ 15/15 = 3/20

3/20 × 4/4 = 12/80

the unknown value is 80

**Solve.**

Question 12.

40% of the students in the sixth grade at Andrew’s school participate in sports. If 52 students participate in sports, how many sixth graders are there at Andrew’s school?

_____ students

Answer:

130 students

Explanation:

52/s = 40%

52/s = 40/100

s = 40/100 × 52 = 130

Question 13.

There were 136 students and 34 adults at the concert. If 85% of the seats were filled, how many seats are in the auditorium?

_____ seats

Answer:

80 seats

Explanation:

There are 170 seats filled total. 170 is 85% of 200. There are 200 seats in the auditorium.

If you were to solve for x in the equation 40% = 32/x, you would get x = 80.

**Use Reasoning Algebra Find the unknown value.**

Question 14.

40% = \(\frac{32}{?}\)

_____

Answer:

80

Explanation:

40/100 = 32/?

40/100 ÷ 40/40 = 2/5

2/5 × 16/16 = 32/80

the unknown value is 80

Question 15.

65% = \(\frac{91}{?}\)

_____

Answer:

140

Explanation:

65/100 = 91/?

65/100 ÷ 65/65 = 13/20

13/20 × 7/7 = 91/140

the unknown value is 140

Question 16.

45% = \(\frac{54}{?}\)

_____

Answer:

120

Explanation:

45/100 ÷ 45/45 = 9/20

9/20 × 6/6 = 54/120

### Problem Solving + Applications – Page No. 304

**Use the advertisement for 17 and 18.**

Question 17.

Corey spent 20% of his savings on a printer at Louie’s Electronics. How much did Corey have in his savings account before he bought the printer?

$ _____

Answer:

$800

Explanation:

(printer cost) = 0.20 * (savings)

(printer cost)/0.20 = (savings)

savings = 5*(printer cost)

Corey’s savings was 5 times that amount.

savings = 5 × 160 = 800

Question 18.

Kai spent 90% of his money on a laptop that cost $423. Does he have enough money left to buy a scanner? Explain.

Type below:

_____________

Answer:

$42.3

Explanation:

He spent 90% of his money. So, he left 10% of money with him.

423 × 10/100 = 42.3 left to buy a scanner

Question 19.

Maurice has completed 17 pages of the research paper he is writing. That is 85% of the required length of the paper. What is the required length of the paper?

_____ pages

Answer:

20 pages

Explanation:

Maurice has completed 17 pages of the research paper he is writing. That is 85% of the required length of the paper.

85%=17 ? what about 100%

100multiplied by 17 divided by 85% =20

Question 20.

Of 250 seventh-grade students, 175 walk to school. What percent of seventh-graders do not walk to school?

_____ %

Answer:

30%

Explanation:

it’s either 30 percent or 70. 70 percent walks to school and 30 percent DO NOT walk to school

Question 21.

What’s the Error? Kate has made 20 free throws in basketball games this year. That is 80% of the free throws she has attempted. To find the total number of free throws she attempted, Kate wrote the equation \(\frac{80}{100}=\frac{?}{20}\). What error did Kate make?

Type below:

_____________

Answer:

20 free throws is 80% of the total attempted

80% to decimal is:

80/100 = 0.8

If total attempted is x, we can say:

20 is 80% (0.8) of x

We can now write an algebraic equation:

20 = 0.8x

We simply solve this for x, that is the number of free throws she attempted:

20 = 0.8x

x = 20/0.8 = 25

Question 22.

Maria spent 36% of her savings to buy a smart phone. The phone cost $90. How much money was in Maria’s savings account before she purchased the phone? Find the unknown value.

$ _____

Answer:

$ 250

Explanation:

let her savings be A

A/Q-

36% of A = $90

36/100 of A = $90

A = 90×100/36

A= $ 250

### Find the Whole from a Percent – Page No. 305

**Find the Whole from a Percent**

Question 1.

9 is 15% of _____.

_____

Answer:

60

Explanation:

15/100 ÷ 15/15 = 3/20

3/20 × 3/3 = 9/60

the unknown value is 60

Question 2.

54 is 75% of _____.

_____

Answer:

72

Explanation:

75/100 ÷ 75/75 = 3/4

3/4 × 18/18 = 54/72

the unknown value is 72

Question 3.

12 is 2% of _____.

_____

Answer:

600

Explanation:

2/100 = 1/50

1/50 × 12/12 = 12/600

the unknown value is 600

Question 4.

18 is 50% of _____.

Answer:

36

Explanation:

50/100 = 1/2

1/2 × 18/18 = 18/36

the unknown value is 36

Question 5.

16 is 40% of _____.

_____

Answer:

40

Explanation:

40/100 = 2/5

2/5 × 8/8 = 16/40

the unknown value is 40

Question 6.

56 is 28% of _____.

_____

Answer:

200

Explanation:

28/100 = 14/50 = 7/25

7/25 × 8/8 = 56/200

the unknown value is 200

Question 7.

5 is 10% of _____.

_____

Answer:

50

Explanation:

10/100 = 1/10

1/10 × 5/5 = 5/50

the unknown value is 50

Question 8.

24 is 16% of _____.

_____

Answer:

150

Explanation:

16/100 = 4/25

4/25 × 6/6 = 24/150

the unknown value is 150

Question 9.

15 is 25% of _____.

_____

Answer:

60

Explanation:

25/100 = 1/4

1/4 × 15/15 = 15/60

the unknown value is 60

**Problem Solving**

Question 10.

Michaela is hiking on a weekend camping trip. She has walked 6 miles so far. This is 30% of the total distance. What is the total number of miles she will walk?

_____ miles

Answer:

20 miles

Explanation:

Since 6mi=30%,

You should find ten percent.

This is how, divide both sides by 3, and this gives you

2m=10% (2m being 2 miles)

So, to find 100%, you need to multiply both sides by 10

20m=100%

So now, Michaela will walk 20 miles this weekend

Question 11.

A customer placed an order with a bakery for muffins. The baker has completed 37.5% of the order after baking 81 muffins. How many muffins did the customer order?

_____ muffins

Answer:

216 muffins

Explanation:

A customer placed an order with a bakery for muffins. The baker has completed 37.5% of the order after baking 81 muffins.

37.5/100=0.375 and 81/0.375=216

so the answer is 216

Question 12.

Write a question that involves finding what number is 25% of another number. Solve using a double number line and check using equivalent ratios. Compare the methods.

Type below:

_____________

Answer:

25% of 15 = 25/100 × 15 = 375/100 = 3.75

### Lesson Check – Page No. 306

Question 1.

Kareem saves his coins in a jar. 30% of the coins are pennies. If there are 24 pennies in the jar, how many coins does Kareem have?

_____ coins

Answer:

80 coins

Explanation:

24=30%

find 100%

24=30%

diivde by 3

8=10%

multiply 10

80=100%

80 coins

Question 2.

A guitar shop has 19 acoustic guitars on display. This is 19% of the total number of guitars. What is the total number of guitars the shop has?

_____ guitars

Answer:

100 guitars

Explanation:

Let’s find out how much 1% is worth first.

19 guitars = 19%

therefore 19 ÷ 19 = [ 1 guitar = 1% ]

The total number of guitars is going to be 100%,

so if 1% × 100 = 100%, then 1 guitar × 100 = 100 guitars total.

**Spiral Review**

Question 3.

On a coordinate grid, in which quadrant is the point (−5, 4) located?

Type below:

_____________

Answer:

Quadrant II

Explanation:

(-5, 4)

-5 is the negative point of the x coordinate

4 is the positive point of the y coordinate

Quadrant II

Question 4.

A box contains 16 cherry fruit chews, 15 peach fruit chews, and 12 plum fruit chews. Which two flavors are in the ratio 5 to 4?

Type below:

_____________

Answer:

peach fruit chews and plum fruit chews are in the ratio 5 to 4

Explanation:

15 peach fruit chews, and 12 plum fruit chews

15/12 = 5/4

Question 5.

During basketball season, Marisol made \(\frac{19}{25}\) of her free throws. What percent of her free throws did Marisol make?

_____ %

Answer:

76%

Explanation:

During the basketball season, Marisol made \(\frac{19}{25}\) of her free throws.

(19 ÷ 25) × 100 = 76%. Marisol made 76% of her free throws.

Question 6.

Landon is entering the science fair. He has a budget of $115. He has spent 20% of the money on new materials. How much does Landon have left to spend?

$ _____

Answer:

$92

Explanation:

Landon has $92 left because if you divide 115/.20 you get 23 and then you subtract 115-23=92 or $92.

### Chapter 5 Review/Test – Page No. 307

Question 1.

What percent is represented by the shaded part?

Options:

a. 46%

b. 60%

c. 64%

d. 640%

Answer:

c. 64%

Explanation:

64 squares are shaded out of 100.

So, 64% and 64/100 are the answers.

Question 2.

Write a percent to represent the shaded part.

_____ %

Answer:

42%

Explanation:

42 squares are shaded out of 100.

So, 42% and 42/100 are the answers.

Question 3.

Rosa made a mosaic wall mural using 42 black tiles, 35 blue tiles and 23 red tiles. Write a percent to represent the number of red tiles in the mural.

_____ %

Answer:

23%

Explanation:

42+35+23= 100

So plug it in.

23/100

23%

Your answer is 23%.

Question 4.

Model 39%.

Type below:

_____________

Answer:

Explanation:

39 squares out of 100 need to shaded

### Page No. 308

Question 5.

For 5a–5d, choose Yes or No to indicate whether the percent and the fraction represent the same amount.

5a. 50% and \(\frac{1}{2}\)

5b. 45% and \(\frac{4}{5}\)

5c. \(\frac{3}{8}\) and 37.5%

5d. \(\frac{2}{10}\) and 210%

5a. _____________

5b. _____________

5c. _____________

5d. _____________

Answer:

5a. Yes

5b. No

5c. Yes

5d. No

Explanation:

1/2 = 0.5 × 100/100 = 50/100 = 50%

4/5 = 0.8 × 100/100 = 80/100 = 80%

3/8 = 0.375 × 100/100 = 37.5/100 = 37.5%

2/10 = 0.2 × 100/100 = 20/100 = 20%

Question 6.

The school orchestra has 25 woodwind instruments, 15 percussion instruments, 30 string instruments, and 30 brass instruments. Select the portion of the instruments that are percussion. Mark all that apply.

Options:

a. 15%

b. 1.5

c. \(\frac{3}{20}\)

d. 0.15

Answer:

a. 15%

c. \(\frac{3}{20}\)

d. 0.15

Explanation:

25 + 15 + 30 + 30 = 100

15 percussion instruments = 15/100 = 15% = 0.15

Question 7.

For a science project, \(\frac{3}{4}\) of the students chose to make a poster and 0.25 of the students wrote a report. Rosa said that more students made a poster than wrote a report. Do you agree with Rosa? Use numbers and words to support your answer

Type below:

_____________

Answer:

Yes, because 3/4 is equal to 0.75 and 0.75 > 0.25

Or 0.25 is equal to 1/4, and 1/4 < 3/4

Question 8.

Select other ways to write 0.875. Mark all that apply.

Options:

a. 875%

b. 87.5%

c. \(\frac{7}{8}\)

d. \(\frac{875}{100}\)

Answer:

c. \(\frac{7}{8}\)

Explanation:

0.875 = 8.75/100 = 8.75%

### Page No. 309

Question 9.

There are 88 marbles in a bin and 25% of the marbles are red.

There are _____________ red marbles in the bin.

Answer:

There are 22 red marbles in the bin.

Explanation:

88 × 25% = 88 × 25/100 = 22

Question 10.

Harrison has 30 CDs in his music collection. If 40% of the CDs are country music and 30% are pop music, how many CDs are other types of music?

_____ CDs

Answer:

9 CDs

Explanation:

Harrison has 30 CDs in his music collection. If 40% of the CDs are country music and 30% are pop music,

40 + 30 = 70

100 – 70 = 30%

30 × 30/100 = 9

Question 11.

For numbers 11a–11b, choose <, >, or =.

11a. 30% of 90 Ο 35% of 80

11b. 25% of 16 Ο 20% of 25

30% of 90 _____ 35% of 80

25% of 16 _____ 20% of 25

Answer:

30% of 90 < 35% of 80

25% of 16 < 20% of 25

Explanation:

30% of 90 = 30/100 × 90 = 27

35% of 80 = 35/100 × 80 = 28

30% of 90 < 35% of 80

25% of 16 = 25/100 × 16 = 4

20% of 25 = 20/100 × 25 = 5

25% of 16 < 20% of 25

Question 12.

There were 200 people who voted at the town council meeting. Of these people, 40% voted for building a new basketball court in the park. How many people voted against building the new basketball court? Use numbers and words to explain your answer.

Type below:

_____________

Answer:

There were 200 people who voted at the town council meeting. Of these people, 40% voted for building a new basketball court in the park.

100 – 40% = 60%

200 × 60/100 = 120 people

### Page No. 310

Question 13.

James and Sarah went out to lunch. The price of lunch for both of them was $20. They tipped their server 20% of that amount. How much did each person pay if they shared the price of lunch and the tip equally?

$ _____

Answer:

$12

Explanation:

James and Sarah went out to lunch. The price of lunch for both of them was $20. They tipped their server 20% of that amount.

20% of 20 = 20/100 × 20 = 4

20 + 4 = 24

24/2 = 12

$12

Question 14.

A sandwich shop has 30 stores and 60% of the stores are in California. The rest of the stores are in Nevada.

Part A

How many stores are in California and how many are in Nevada?

Type below:

_____________

Answer:

30 × 60/100 = 18 stores in California

30 – 18 = 12 stores in Nevada

Question 14.

Part B

The shop opens 10 new stores. Some are in California, and some are in Nevada. Complete the table.

Type below:

_____________

Answer:

Explanation:

100 – 45 = 55%

55% of 40 = 55/100 × 40 = 22

45% of 40 = 45/100 × 40 = 18

Question 15.

Juanita has saved 35% of the money that she needs to buy a new bicycle. If she has saved $63, how much money does the bicycle cost? Use numbers and words to explain your answer

$ _____

Answer:

$180

Explanation:

Juanita has saved 35% of the money that she needs to buy a new bicycle. If she has saved $63,

35/100 = 7/20

7/20 × 9/9 = 63/180

The bicycle cost is $180

### Page No. 311

Question 16.

For 16a–16d, choose Yes or No to indicate whether the statement is correct.

16a. 12 is 20% of 60.

16b. 24 is 50% of 48.

16c. 14 is 75% of 20.

16d. 9 is 30% of 30.

16a. _____________

16b. _____________

16c. _____________

16d. _____________

Answer:

16a. Yes

16b. Yes

16c. No

16d. Yes

Explanation:

20% of 60 = 20/100 × 60 = 12

50% of 48 = 50/100 × 48 = 24

75% of 20 = 75/100 × 20 = 15

30% of 30 = 30/100 × 30 = 9

Question 17.

Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend. Tickets cost $56 each. This is 70% of the cost of a regular price ticket

Part A

What is the cost of a regular price ticket? Show your work.

$ _____

Answer:

$80

Explanation:

70/100 = 56/s

s = 56 × 100/70 = 80

Question 17.

Part B

Heather’s mom says that they would save more than $100 if they buy 4 tickets for their family on opening weekend. Do you agree or disagree with Heather’s mom? Use numbers and words to support your answer. If her statement is incorrect, explain the correct way to solve it.

Type below:

_____________

Answer:

80 × 4 = 320

56 × 4 = 224

320 – 224 = 96

$96

Question 18.

Elise said that 0.2 equals 2%. Use words and numbers to explain her mistake.

Type below:

_____________

Answer:

0.2 × 100/100 = 20/100 = 2%

### Page No. 312

Question 19.

Write 18% as a fraction.

\(\frac{□}{□}\)

Answer:

\(\frac{9}{50}\)

Explanation:

18% = 18/100 = 9/50

Question 20.

Noah wants to put a variety of fish in his new fish tank. His tank is large enough to hold a maximum of 70 fish.

Part A

Complete the table.

Type below:

_____________

Answer:

Explanation:

70 × 20/100 = 14

70 × 40/100 = 28

70 × 30/100 = 21

Question 20.

Part B

Has Noah put the maximum number of fish in his tank? Use numbers and words to explain how you know. If he has not put the maximum number of fish in the tank, how many more fish could he put in the tank?

Type below:

_____________

Answer:

No, since 20% + 40% + 30% = 90%, he can add 10% in the tank.

### Conclusion:

Download Go Math Grade 6 Answer Key Chapter 5 Model Percents for Free of cost. The best resource for math practice is referring to the Go Math Grade 6 Chapter 5 Model Percents Solution Key. Efficient learning and best practice come in a single hand with the Grade 6 Answer Key.