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algebra

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Cycle Paths, inc. makes bicycles, tricycles, and unicycles. Last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. If they made 40 more bicycles than tricycles, how many unicycles did they make?

  • algebra - ,

    Let summarize the data
    B=number of bicycles made last week
    T=number of tricycles
    U=number of unicycles

    B=88+U ....(1)
    5U=T .....(2)
    B=T+40 ....(3)

    Put (2) in (3) to eliminate T
    B=5U+40 ....(4)

    Equate (1) and (4) to eliminate B
    5U+40 = 88 + U
    4U = 48
    U = 12

    Substitute U in (2)
    T = 5*12 = 60

    and in (1)
    B = 88 + 12 = 100

    So Cycle Paths made 12 Unicycles, 60 tricycles and 100 bicycles.

    Please check these numbers against the original question.

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