Question

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. How many cups of pear juice should she use to make 20 cups of punch?

Answer 1

To make 20 cups of punch, Jane should use 10 cups of pear juice.

Step-by-step explanation:

To find the number of cups of pear juice Jane should use to make 20 cups of punch, we first need to find the ratio of pear juice to the total mixture in the favorite fruit punch. The given ratio is 5:2:3 for pear, pineapple, and plum juices respectively.

We can think of the ratio as 5 parts of pear juice, 2 parts of pineapple juice, and 3 parts of plum juice.

To find the number of cups of pear juice, we can set up a proportion:

5 cups / (5+2+3) cups = x cups / 20 cups

Cross multiplying and solving for x, we get x = (5 cups * 20 cups) / 10 cups = 10 cups.