Final answer:
To find out how many times as much lemonade fruit juice will be in the punch, we can set up a proportion and solve for x. The answer is 6, so there will be 6 times as much lemonade fruit juice in the punch.
Step-by-step explanation:
To find out how many times as much lemonade fruit juice will be in the punch, we need to compare the amount of lemonade to the amount of fresh fruit juice. There are 36 cups of lemonade and 6 cups of fresh fruit juice, so we can set up a proportion:
36 cups lemonade / 6 cups fresh fruit juice = x times lemonade fruit juice / 1 cup fresh fruit juice
Cross multiplying, we get:
36 cups lemonade * 1 cup fresh fruit juice = 6 cups fresh fruit juice * x times lemonade fruit juice
Dividing both sides by 6 cups fresh fruit juice, we can solve for x:
x times lemonade fruit juice = (36 cups lemonade * 1 cup fresh fruit juice) / 6 cups fresh fruit juice
x = 6
Therefore, there will be 6 times as much lemonade fruit juice in the punch.