Question

A recipe for fruit punch calls for 3 cups of pineapple juice for every 5 cups of mango juice, and you want to make 48 cups of fruit punch. How many cups of juice do you need to make a total of 48 cups of fruit punch?

a) 24 cups of pineapple juice and 40 cups of mango juice
b) 36 cups of pineapple juice and 60 cups of mango juice
c) 18 cups of pineapple juice and 30 cups of mango juice
d) 15 cups of pineapple juice and 25 cups of mango juice

Answer 1

To make 48 cups of fruit punch, you will need approximately 14.4 cups of pineapple juice and 33.6 cups of mango juice.

Step-by-step explanation:

To make a total of 48 cups of fruit punch, you need to determine the quantities of both pineapple juice and mango juice. The recipe calls for 3 cups of pineapple juice for every 5 cups of mango juice. First, find the ratio of pineapple juice to mango juice: 3 cups / 5 cups = 3/5. This means for every 3 cups of pineapple juice, you need 5 cups of mango juice.

To find the quantities of pineapple juice and mango juice needed for 48 cups of fruit punch, set up a proportion. Let x be the amount of pineapple juice in cups and y be the amount of mango juice in cups. We have: 3/5 = x/48. Cross-multiply and solve for x: 5x = 3 * 48. Divide both sides by 5 to get the value of x: x = (3 * 48) / 5 = 14.4 cups.

Therefore, you will need approximately 14.4 cups of pineapple juice and 33.6 cups of mango juice to make a total of 48 cups of fruit punch. Rounding up, the answer is approximately 14.4 cups of pineapple juice (option d) and 33.6 cups of mango juice (option b).