Question

a fruit punch recipe that serves 20 people calls for 32 fluid ounces of pineapple juice and 48 fluid ounces of orange juice. monique only has 20 fluid ounces of pineapple juice. how much orange juice does she need to maintain the ratio of pineapple juice to orange juice?
fluid ounces

Explanation:

Step1: Find the ratio of pineapple - juice to orange - juice in the original recipe

The ratio of pineapple juice to orange juice in the original recipe is $\frac{32}{48}=\frac{2}{3}$.

Step2: Set up a proportion to find the amount of orange juice

Let $x$ be the amount of orange juice Monique needs. We know that $\frac{20}{x}=\frac{2}{3}$. Cross - multiply gives $2x = 20\times3$.

Step3: Solve for $x$

$2x=60$, so $x = 30$.

Answer:

30