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

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?

InsatiableSuffering · Answer

So we can make an equation with this one. For every 10 servings of raspberry sorbet, it entails 2 cups of water. So we match the equations up with the properties given. In this case, we know that 10x = 320 and 2x = total cups of water. We find what x is in our ratio. In this case, x = 32. Therefore, you multiply the cups of water by a scale factor of 32. Now because the question asks for gallons of water, we need to convert it. Each gallon is equivalent to 16 cups. Therefore, divide the 64 cups of water by 16 cups to obtain gallons. In this case, there needs to be 4 gallons of water for 320 servings of raspberry sorbet.