Question

You are making 6 quarts of fruit punch for a party. You want the punch to contain 80% fruit juice. You have bottles of 100% fruit juice and 20% fruit juice. How many quarts of 100% fruit juice and how many quarts of 20% fruit juice should you mix to make 6 quarts of 80% fruit juice?

Answer 1

To make 6 quarts of 80% fruit punch, mix 4.5 quarts of 100% fruit juice with 1.5 quarts of 20% fruit juice.

Step-by-step explanation:

The student is tasked with creating a mixture of 6 quarts of fruit punch with an 80% concentration of fruit juice using 100% fruit juice and 20% fruit juice. To solve this, we can use a system of equations to find the amounts of each type of juice needed.

Let x be the quantity of 100% fruit juice and y be the quantity of 20% fruit juice. We have two equations based on the total volume and the desired concentration:

Solving this system:

Hence, 4.5 quarts of 100% fruit juice and 1.5 quarts of 20% fruit juice are required to make 6 quarts of 80% fruit punch.