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1 January, 03:09

A 52 -inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

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  1. 1 January, 03:39
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    The length of the shorter piece is 13 inches

    Step-by-step explanation:

    Let's represent the longer piece of pipe with the variable L and the shorter piece of pipe with variable S.

    Since the pipe is going to be the length of L and S together, we can make this equation:

    L+S=52

    Also we know that the longer piece is three times the shorter piece or

    L=3S

    Substitute the second equation into the first equation.

    L+S=52

    3S+S=52

    4S=52

    Divide both sides by 4

    4S/4=52/4

    S=13 inches

    The length of the shorter piece is 13 inches ...

    To find the length of longer piece, put the value S=13 in L=3S

    L=3S

    L=3 (13)

    L=39 inches

    The length of the longer piece is 39 inches ...
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