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Jack and Bill had $440 altogether. Bill had $20 more than Jack. When Jack spent 1/3 the amount of money spent by Bill, he had 3 times as much money as Bill. How much money did Bill spend?

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1 answer
  1. Jack's amount --- x
    Bill's amount = x+20

    x+x+20 = 440
    x = 210
    So Jack had 210 and Bill had 230

    amount spent by Bill --- y , amount left = 230-y
    amount spent by Jack = 1/3 y , amount left = 210 - 1/3 y

    210 - y/3 = 3(230-y)
    210 - y/3 = 690 - 3y
    8y/3 = 480
    8y = 1440
    y = 180

    Bill spent $180

    check:
    Bill spent 180 leaving him with 50
    Jack spent 60 , leaving him with 150
    which is 3 times what Bill has left
    My answer is correct

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