Math

How much did Aaron start with?

Aaron spent 3/7 of his money. He gave ¼ of the remainder to his sister. He had $120 left. How much money did he have in the beginning? Explain how you got your answer.

The way you solved this problem was wrong.Aaron did not start out with 3/7 you have to work bacwards in the problem and that is what is confusing me

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  1. He spent 3/7 which left him with 4/7 !!!
    7/7 - 3/7 = 4/7

    then he gave away 1/4 of his 4/7
    1 - 1/4 = 3/4
    so he is left with
    4/7 * 3/4

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    posted by Damon
  2. Look at this simpler problem:

    http://www.jiskha.com/display.cgi?id=1423783632

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    posted by Damon
  3. What did he start with not left with plus he left with 120 dollars and he started with 3?I don't think that is resonable.

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  4. It's not suppoesd to be a fraction!!

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  5. he started with x

    he spent 3/7 of x
    then he had 4/7 of x left

    he then gave his sister 1/4 of 4/7 of x
    so he was left with 3/4 of 4/7 of x

    that is 120
    so
    3/4 * 4/7 * x = 120

    3/7 * x = 120

    x = 40*7 = 280
    ===========================
    NOW spend 3/7 * 280 = 120
    280 - 120 = 160 left
    now give your sister 1/4 of the 160 or 40
    left with 160 - 40 = 120
    sure enough
    Believe it yet ?

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    posted by Damon
  6. HE HAD 280 dollars. That is the answer. It is not a fraction.

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    posted by Damon

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