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30 October, 12:23

A total of 192 units is planned, and the number of family units (2 and 3 bedroom townhouses) will equal to the number of 1 bedroom units. If the number of 1 bedroom units will be 3 times the number of 3 bedroom units, find how many units of each type will be in the complex.

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  1. 30 October, 13:48
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    96 one bedroom homes

    64 two bedroom homes

    32 three bedroom homes

    Step-by-step explanation:

    If x is the number of 1 bedroom homes, y is the number of 2 bedroom homes, and z is the number of 3 bedroom homes:

    x + y + z = 192

    x = y + z

    x = 3z

    Solve the system of equations using substitution or elimination. Using substitution:

    x + x = 192

    2x = 192

    x = 96

    z = x / 3

    z = 32

    y = x - z

    y = 64
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