SOLUTION: How would I slove the following?....How many cups of pure grapefruit juice must be added to 30 cups of a punch that contains 8% grapefruit juice to obtain a punch that is 10% grape

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Question 163455: How would I slove the following?....How many cups of pure grapefruit juice must be added to 30 cups of a punch that contains 8% grapefruit juice to obtain a punch that is 10% grapefruit juice?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = cups of pure grapefruit juice added
.
"amt added" + "amt in original" = "desired mix"
x + .08(30) = .10(30+x)
x + 2.4 = 3 + .10x
.90x + 2.4 = 3
.90x = 0.6
x = 0.6/.90
x = 0.6667
or
x = 2/3 cups