Maths

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Keith and Shawn each have some money. If Keith spends $38, the ratio of the amount of money Keith has to the amount of money Shawn has will become 2:5. If Shawn spends $38, the ratio will become 8:13. How much money does each boy have?

  • Maths -

    Keith's amount --- k
    Shawn's amount --- s

    (k-38)/s = 2/5
    5k - 190 = 2s
    5k - 2s = 190 (#1)

    k/(s-38) = 8/13
    13k = 8s - 304
    13k - 8s = -304 (#2)

    4(#1) - #2 ----> 7k = 1064
    k = 152
    back in #1
    5(152) - 2s = 190
    s = 570

    Keith had $152 , Shawn had $570

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