McGraw Hill Math Grade 8 Lesson 6.4 Answer Key Proportions and Percent

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McGraw-Hill Math Grade 8 Answer Key Lesson 6.4 Proportions and Percent

Exercises Calculate Using Proportions

Question 1.
40% of 50 is _____
Answer:
20,

Explanation:
40% of 50 is \(\frac{40}{100}\) X 50, Let it be x = \(\frac{40 X 50}{100}\), x = \(\frac{2000}{100}\), x = 20.

Question 2.
72 is 18% of ___________
Answer:
400,

Explanation:
72 is 18% of 72 X \(\frac{18}{100}\), Let it be x =  \(\frac{72 X 100}{18}\), x = \(\frac{7200}{18}\), x = 400.

Question 3.
14 is ________% of 35
Answer:
40%,

Explanation:
14 is x% of 35, So 14 = \(\frac{x}{100}\) X 35, Let x = \(\frac{14 X 100}{350}\), x = \(\frac{1,400}{35}\), x = 40.

Question 4.
12% of 85 is ___________
Answer:
10.2,

Explanation:
12% of 85 is \(\frac{12}{100}\) X 85, Let x \(\frac{12 X 85}{100}\) = x,
\(\frac{1,020}{100}\) = x, x = 10.2.

Question 5.
50 is 40% of _____
Answer:
125,

Explanation:
50% of 40 is \(\frac{50}{100}\) X 40 = x, \(\frac{50 X 100}{40}\) = x,
\(\frac{5,000}{40}\) = x, x = 125.

Question 6.
18 is ________% of 270
Answer:
6.7%,

Explanation:
18 is x% of 270, 18 = \(\frac{x}{100}\) X 270, x = \(\frac{18 X 100}{270}\), x = \(\frac{1,800}{270}\), x = 6.7%.

Question 7.
70% of 70 is __________
Answer:
49,

Explanation:
70% of 70 is \(\frac{70}{100}\) X 70, let it be x = \(\frac{70 X 70}{100}\), x = \(\frac{4,900}{100}\), x = 49.

Question 8.
66 is 30% of ____
Answer:
220,

Explanation:
66 is 30% of \(\frac{30}{100}\) X 66, Let it be x =  \(\frac{66 X 100}{30}\), x = \(\frac{6,600}{30}\), x = 220.

Question 9.
1.5 is ________% of 75
Answer:
2%,

Explanation:
1.5 is x% of 75, 1.5 = \(\frac{x}{100}\) X 75, Let it be x = \(\frac{1.5 X 100}{75}\), x = \(\frac{150}{75}\), x = 2.

Question 10.
140% of 95 is __________
Answer:
133,

Explanation:
140% of 95 is \(\frac{140}{100}\) X 95, Let it be x, \(\frac{140 X 95}{100}\) = x, x = \(\frac{13,300}{100}\), x = 133.

Question 11.
13 is 65% of ___________
Answer:
20,

Explanation:
13 is 65% of 13 X \(\frac{65}{100}\), Let it be x \(\frac{13 X 100}{65}\) , x = \(\frac{1300}{65}\), x = 20.

Question 12.
12 is ___ % of 32
Answer:
37.5%,

Explanation:
12 is x% of 32, 12 = \(\frac{x}{100}\) X 32, Let it be x = \(\frac{12 X 100}{32}\) = \(\frac{1200}{32}\), x = 37.5.