Math

The ratio of the amount of money Jason had to the amount of money Wilson had was 12:13. After Wilson spent $63, Jason had 3 times as much money as Wilson. a) How much money did Jason have? b) How much money do they have altogether?

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  1. J = 12/13 W

    J = 3(W - 63)

    12/13 W = 3W - 189 ... 189 = 27/13 W

    solve for W, then substitute back to find J

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  2. Work the full problem out

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  3. W = 189*13/27 = 91

    How much money did Jason have?
    J = 3(91-63) = 3*28 = $84

    How much money do they have altogether to start with?
    =84+91 = 175
    How much money do they have altogether at the end?
    =84+(91-63) = 84+28 = 112

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  4. Solving Eq:
    12/13 W = 3W - 189

    3W-(12/13)W = 189

    (3*13/13)W -(12/13)W = 189

    (39-12/13)W = 189 => 27/13W =189

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