I'm sorry but I'm confused about the steps you took in the part of the equation that you began to solve for me.

Question

Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to the mixture?

A: ?

Answer 1

Sorry I misread your original question

So here is the correct one:

right now :
amount of orange juice = .25(8) = 2 cups
amount of apple juice = .75(8) = 6 cups

let the amount of pure orange juice to be added be x cups
so just looking at the orange juice:
2 + x = .4(x+8)
times 10
20 + 10x = 4x + 32
6x = 12
x = 2

She should add 2 cups of pure orange juice

check:
She now has 10 cups of juice, which contains the original 2 cups of orange juice from the original mixture plus the 2 cups of pure orange juice
So it contains 4 cups of orange juice or 4/10 or 40% orange juice.

Answer 2

Thank you so much!