Algebra 1 (Reiny)

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.

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: ?

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  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.

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    posted by Reiny
  2. Thank you so much!

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    posted by Victoria

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