A wooden board 27 ft long is cut into two pieces so that the longer piece is 8 times as long as the shorter piece. Find the lengths of

Question

A wooden board 27 ft long is cut into two pieces so that the longer piece is 8
times as long as the shorter piece. Find the lengths of the two pieces.

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Nho 3 years 2021-07-25T19:38:58+00:00 1 Answers 5 views 0

Answers ( )

  1. Ben
    0
    2021-07-25T19:40:22+00:00
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    Answer:

    3ft and 24 ft.

    Step-by-step explanation:

    • Let the length of the shorter piece be x

    The longer piece is 8 times as long as shorter piece

    therefore,

    • Length of longer piece = 8x

    Total length of the wooden board = 27 ft.

    27 = longer length + shorter length

    27 = x + 8x

    27 = 9x

    dividing both sided by 9

    3 = x

    since x was the length of the shorter piece

    shorter piece is 3 ft. long

    and the longer piece was equal to 8x

    longer piece is 24 ft. long

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