# COMPARING UNIT RATES WORD PROBLEMS WORKSHEET

In the following exercises, find each unit price and then identify the better buy. Round to three decimal places.

Problem 1 :

Mouthwash, 50.7-ounce size for \$6.99 or 33.8-ounce size for \$4.79.

Solution

Problem 2 :

Toothpaste, 6 ounce size for \$3.19 or 7.8-ounce size for \$5.19

Solution

Problem 3 :

Breakfast Cereal, 18 ounce for \$3.99 or 14 ounce for \$3.29.

Solution

Problem 4 :

Breakfast Cereal, 10.7 ounce size for \$2.69 or 14.8-ounce size for \$3.69.

Solution

Problem 5 :

Ketchup, 40-ounce regular bottle for \$2.99 or 64-ounce squeeze bottle for \$4.39.

Solution

Problem 6 :

Mayonnaise 15-ounce regular bottle for \$3.49 or 22-ounce squeeze bottle for \$4.99

Solution

Problem 7 :

Cheese \$6.49 for 1 lb. block or \$3.39 for 1/2 lb. block

Solution

Problem 8 :

Candy \$10.99 for a 1 lb. bag or \$2.89 for 1/4 lb. of loose candy

Solution

1)  So, type A is better than type B.

2)  So, type A is better than type B.

3)  So, type A is better than type B.

4)  So, type B is better than type A.

5)  So, type B is better than type A.

6)  So, type B is better than type A.

7)  So, type A is better than type B.

8) So, type A is better than type B.

Problem 1 :

Sven drives his car 455 miles, using 14 gallons of gasoline. How many miles per gallon does his car get?

Solution

Problem 2 :

The grocery store charges \$3.99 for a case of 24 bottles of water. What is the unit price?

Solution

Problem 3 :

The pressroom at a printing plant prints 540,000 sections in 12 hours. How many sections are printed per hour?

Solution

Problem 4 :

The bindery at a printing plant assembles 96,000 magazines in 12 hours. How many magazines are assembled in one hour?

Solution

Problem 5 :

The pet store has a special on cat food. The price is \$4.32 for 12 cans. How much does each can cost?

Solution

Problem 6 :

The grocery store has a special on macaroni and cheese. The price is \$3.87 for 3 boxes. How much does each box cost?

Solution

Problem 7 :

One elementary school in Ohio has 684 students and 45 teachers. Write the student-to-teacher ratio as a unit rate.

Solution

Problem 8 :

A popular fast food burger weighs 7.5 ounces and contains 540 calories, 29 grams of fat, 43 grams of carbohydrates, and 25 grams of protein. Find the unit rate of

a) calories per ounce

b)  grams of fat per ounce

c) grams of carbohydrates per ounce

d) grams of protein per ounce.

Round to two decimal places

Solution

1)  So, he can cover 32.5 miles using 1 gallon of gasoline.

2)  So, the unit price is \$0.166.

3)  So, 45000 sections can be in 1 hour printed.

4)  So, 8000 magazines can be assembled in 1 hour.

5)  So, cost of 1 can food is \$0.36.

6)  So, cost of 1 box is \$1.29.

7)  So, 1 teacher can teach 15 students.

8)  a)  1 ounce : 72 calories

b)  1 ounce : 3.86

c)  1 ounce : 5.733 grams of carbohydrates

d)  1 ounce : 3.33 grams of protien

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