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jenny's company has two photocopying machines, one of which is older and slower than the other. In fact, the newer machine can put out four-thirds as many copies as the older machine in the same amount of time. If, while running at the same time, together they produce 560 copies, how many copies did each machine produce?

  • math -

    rate of older machine === 1 unit/unit of time
    rate of newer machine === 4/3 units/unit of time

    combined rate = 1 + 4/3 = 7/3 units/unit of time

    (7/3)x = 560
    x = 240

    The slower did 240 copies
    and the faster did (4/3)(240) or 320 copies

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