Question

You are making 8 cups of fruit punch for a party. You have bottles of 75% fruit juice and 25% fruit juice. How many cups of each type of juice should you mix together to make 8 cups of 50% fruit juice?

How many cups of 75% fruit juice?

How many cups of 25% fruit juice?

Answer 1

Answer:

4 cups of 75% fruit juice and 4 cups of 25% fruit juice should be mixed.

Step-by-step explanation:

Suppose, the amount of 75% fruit juice is $x$ cups.

As the total amount of fruit punch is 8 cups, so the amount of 25% juice will be:  $(8-x)$ cups.

Given that, the percentage of juice in 8 cups fruit punch is 50%

So, the equation will be.........

$0.75x+0.25(8-x)= 0.50(8)\\ \\ 0.75x+2-0.25x= 4\\ \\ 0.50x+2=4\\ \\ 0.50x= 2\\ \\ x=\frac{2}{0.50}=4$

Thus, the amount of 75% fruit juice is 4 cups

and the amount of 25% fruit juice is (8-4)= 4 cups.