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19 May, 01:50

If a 16 foot piece of string is cut into 2 pieces so that the longer piece is 1 foot longer that twice the shorter piece if the shorter piece is x foot long, find the length of both pieces

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  1. 19 May, 04:58
    0
    Well,

    We can write everything down based on x.

    Longer piece = 2x + 1

    Longer piece + Shorter piece = 16

    x + 2x + 1 = 16

    Collect Like Terms

    3x + 1 = 16

    Subtract 1 from both sides

    3x = 15

    Divide both sides by 3

    x = 5

    Longer piece = 2x + 1

    Longer piece = 2 (5) + 1

    Longer piece = 10 + 1

    Longer piece = 11

    11 + 5 = 16

    Longer piece = 11 ft.

    Shorter piece = 5 ft.
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