McGraw Hill Math Grade 8 Lesson 6.3 Answer Key Rates

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 6.3 Rates to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 6.3 Rates

Exercises Solve

Question 1.
George likes to sweeten his ice tea. When he is drinking a 20-ounce ice tea, he adds two teaspoons of sugar. If he makes a gallon of ice tea, how many teaspoons of sugar should he add (there are 128 ounces in a gallon)?
Answer:
12.8 tea spoons of sugar,

Explanation:
1cup of ice tea has 20-ounce, he adds two teaspoons of sugar.
1gallon of ice tea = 128 ounces
Number of teaspoons of sugar should he add
= \(\frac{128 X 2}{20}\)
= 12.8

Question 2.
Peter wants to make scrambled eggs for the customers at the diner. His recipe calls for 12 eggs and is enough for 5 people. How many eggs will he need if he has to feed 75 customers?
Answer:
180 eggs,

Explanation:
His recipe calls for 12 eggs and is enough for 5 people.
Number of eggs he need to feed 75 customers,
= \(\frac{75 X 12}{5}\)
= \(\frac{900}{5}\) = 180 eggs.

Question 3.
A person needs to drink 3 quarts of water for every hour of running time. If a runner plans to complete a marathon in 5 hours, how many quarts of water should she drink during the race?
Answer:
15 quarts,

Explanation:
A person needs to drink 3 quarts of water for every hour of running time.
If a runner plans to complete a marathon in 5 hours,
Total quarts of water should she drink during the race of 5 hours,
for 1 hour 3 quarters of water,
for 5 hours = \(\frac{5 X 3}{1}\) = 15 quarters.

Question 4.
Diane’s car uses 5 gallons of gasoline to travel 125 miles. How far will Diane be able to travel on 20 gallons of gasoline?
Answer:
500 miles,

Explanation:
Diane’s car uses 5 gallons of gasoline to travel 125 miles.
Total miles he travel for 20 gallons of gasoline,
= \(\frac{125 X 20}{5}\)
\(\frac{2500}{20}\) = 500 miles.

Question 5.
When Frank goes on a 4-day vacation with his family, he packs 4 t-shirts and 3 pairs of shorts. If he is going on an extended vacation for 12 days, how many t-shirts and shorts will he need to pack?
Answer:
T-shirts 12; Shorts 9,

Explanation:
Frank packs 4 t-shirts and 3 pairs of shorts for vacation.
If he is going on an extended vacation for 12 days,
for days vacation he need 4 t-shirts and 3 pairs of shorts
For 12 days he need (4 t-shirts and 3 pairs of shorts) x 3
= 4 x 3 t-shirts and 3 x 3 shorts
Total t-shirts and shorts will he need to pack for 12 days,
12 t-shirts and 9 shorts.

Question 6.
There were 90 customers at the restaurant on Friday, 60 of whom ordered the vegetarian meal. If there are 195 customers on Sunday, how many vegetarian meals would you expect to sell?
Answer:
130 meals,

Explanation:
There were 90 customers at the restaurant on Friday,
60 of whom ordered the vegetarian meal.
If there are 195 customers on Sunday,
Total vegetarian meals would you expect to sell on Sunday,
90 costumers = 60 meals,
195 customers = \(\frac{60 X 195}{90}\)
x = \(\frac{11700}{90}\)
= 130

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