A fruit punch recipe requires 2 quarts pf orange juice to be mixed for every 5 quarts of apple juice. Max has 9 quarts of orange juice. How much apple juice does Max need to make the punch if he wants to use all of his orange juice

22.5 quarts

Step-by-step explanation:

Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.

The ratio of orange juice to apple juice is therefore:

2 : 5 or 2/5

Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:

2 / 5 = 9 / x

x = (9 * 5) / 2 = 22.5 quarts

He will need 22.5 quarts of apple juice.