Question

A recipe for mac and cheese calls for 7 cups of pasta for every 4 cups of cheese. Suppose a restaurant is making a large batch of mac and cheese using 20 cups of cheese. How much pasta would they need?

Answer 1

To find out how much pasta would be needed, we can set up a proportion using the ratio of pasta to cheese:

7 cups of pasta / 4 cups of cheese = x cups of pasta / 20 cups of cheese

Cross multiplying, we get:

4x = 140

Dividing both sides by 4:
x = 35

Therefore, the restaurant would need 35 cups of pasta to make a large batch of mac and cheese using 20 cups of cheese.