Question

a recipe for mac and cheese calls for 6 cups of pasta for every 4 cups of cheese. suppose a restaurant is making a large batch of mac and cheese using 15 cups of cheese. how much pasta would they need?

Explanation:

Step1: Find the ratio of pasta to cheese

The ratio of pasta to cheese in the recipe is $\frac{6}{4}=\frac{3}{2}$.

Step2: Set up a proportion

Let $x$ be the amount of pasta needed for 15 cups of cheese. The proportion is $\frac{x}{15}=\frac{3}{2}$.

Step3: Solve the proportion for $x$

Cross - multiply: $2x = 15\times3$. So $2x=45$, and then $x=\frac{45}{2}=22.5$.

Answer:

22.5