Math

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Mr. Clarkson and Mrs. Rose had an average of $180. After Mr. Clarkson spent $73 and Mrs. Rose received $38 from her father, Mr. Clarkson had 1/4 as much money as Mrs. Rose. How much money did each have at first?

  • Math -

    Clarkson --- x
    Rose ------ y
    but (x+y)/2 = 180
    x+y = 360
    y = 360-x

    clarkson spent 73:
    amount left = x-73

    Rose got 38
    her amount now = 360-x + 38 =398-x

    clarkson has 1/4 as much as Rose
    x-73 = (1/4)(398-x)
    4x-292 = 398 - x
    5x = 690
    x = 138

    Clarkson had $138
    Rose had $222

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