Final answer:
To make 5 batches of the fruit punch using the given recipe, you will need 3.75 quarts of pineapple juice and 2.5 quarts of apple juice, since 3 cups of pineapple and 2 cups of apple juice are needed per batch.
Step-by-step explanation:
You asked how many cups of pineapple juice and apple juice are needed to make 5 cups of fruit punch, consisting of 3 cups of pineapple juice and 2 cups of apple juice. Let us scale this recipe up to make 5 batches.
Step-by-Step Explanation:
Calculate the total cups of pineapple juice needed: 3 cups of pineapple juice per batch × 5 batches = 15 cups of pineapple juice.
Since there are 4 cups in 1 quart, to find out how many quarts of pineapple juice are needed, set up a proportion: (4 cups / 1 quart = 15 cups / x quarts).
Solve the proportion for x:
x = 15 cups ÷ 4 cups/quart = 3.75 quarts of pineapple juice.
Next, calculate the total cups of apple juice:
With 2 cups of apple juice per batch for 5 batches, you need 2 × 5 = 10 cups of apple juice, which is equal to 2.5 quarts (since there are 4 cups in a quart).
In summary, for 5 batches, you will need 3.75 quarts of pineapple juice and 2.5 quarts of apple juice to make the fruit punch.