Final answer:
Jane should use 5x cups of pear juice to make the quantity of fruit punch.
Step-by-step explanation:
To find the number of cups of pear juice Jane should use, we need to consider the ratio of pear, pineapple, and plum juices in her favorite fruit punch. The ratio is given as 5:2:3. This means that for every 5 cups of pear juice, Jane should use 2 cups of pineapple juice and 3 cups of plum juice.
If we let x represent the number of cups of pear juice, then:
- 5x represents the number of cups of pineapple juice
- 3x represents the number of cups of plum juice
Therefore, Jane should use 5x cups of pear juice to make the quantity of punch.