A 15 feet piece of string is cut into two pieces so that the longer piece is 3 feet longer than twic

Discussion in 'Calculator Requests' started by math_celebrity, Feb 1, 2017.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    A 15 feet piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.

    If the shorter piece is x, the longer piece is 20 - x

    We also are given
    15 - x = 2x + 3

    Add x to each side:
    3x + 3 = 15

    Using our equation calculator, we get a shorter piece of:
    x = 4

    The longer piece is:
    15 - x
    15 - 4
    11
     

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