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?

Question

4 gallons
8 gallons
40 gallons
80 gallons

Answer 1

To determine how many gallons of water are needed for 320 servings of raspberry sorbet, we first need to calculate how much water is required per serving and then scale it up to 320 servings.

The original recipe is for 10 servings and calls for 2 cups of water.

1. Calculate the amount of water needed for one serving: \[ \text{Water per serving} = \frac{2 \text{ cups}}{10 \text{ servings}} = 0.2 \text{ cups per serving} \]

2. Now multiply the amount of water per serving by the number of servings (320): \[ \text{Water for 320 servings} = 0.2 \text{ cups/serving} \times 320 \text{ servings} = 64 \text{ cups} \]

3. Convert cups to gallons. There are 16 cups in a gallon: \[ \text{Gallons of water} = \frac{64 \text{ cups}}{16 \text{ cups/gallon}} = 4 \text{ gallons} \]

Thus, the recipe would call for 4 gallons of water for 320 servings. The answer is:

4 gallons.