Question

A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, 1 and one-half cups of granulated sugar, and 4 cups of frozen raspberries, thawed. How many gallons of water would the recipe call for if a school made 320 servings for students to eat at lunch?

4 gallons
8 gallons
40 gallons
80 gallons

Answer 1

4 gal of waters.....

Answer 2

4 gallons

Explanation:

Make a proportion

Every 10 servings needs 2 cups of water, and 320 servings needs x cups of water

10/2=320/x

Cross multiply

10*x=320*2

10x=640

Divide both sides by 10

10x/10=640/10

x=64

The recipe needs 64 cups, but we need to find gallons.

There are 16 cups in a gallon. Therefore, we can divide 64 cups by 16 to find out how many gallons it is.

64/16

4

4 gallons of water would be needed for 320 servings