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24 July, 21:34

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

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  1. 24 July, 22:26
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    Let's name variables:

    x = bicycles

    y = tricycles

    z = unicycles

    We write the following system of equations:

    x = 88 + z

    y = 5z

    x = 40 + y

    We solve the equation system for z:

    1) x = 40 + y

    2) y = 5z

    3) x = 88 + z

    Substituting x and y in equation 1:

    88 + z = 40 + 5z

    We cleared z:

    4z = 88-40

    z = 48/4

    z = 12

    Answer:

    They did make 12 unicycles
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