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12 August, 05:14

Class A folds 160 fewer paper cranes than class B and 2/3 as many paper cranes as class C. Class B folds 92 more paper cranes than class C. How many paper cranes does class B fold?

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  1. 12 August, 05:29
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    Let x = Class A

    Let y = Class B

    Let z = Class C

    Equations from problem:

    x - 160 = y

    2/3x = z

    y + 92 = z

    Solving through substitution:

    2/3x = y + 92

    2/3x = (x - 160) + 92

    2/3x = x - 68

    -1/3x = - 68

    3 (-1/3x) = 3 (-68)

    -x = - 204

    x = 204

    Now substitute x in the first equation to get y:

    204 - 160 = y

    44 = y

    44 = Class B

    There are 44 folded paper cranes in Class B.
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