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28 January, 03:01

A 56​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces.

What is the length of the first piece?

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  1. 28 January, 04:14
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    X = 1st piece, y = 2nd piece, z = 3rd piece

    x + y + z = 56

    y = 2x

    z = 5x

    x + 2x + 5x = 56

    8x = 56

    x = 56/8

    x = 7 < = = = 1st piece

    y = 2x

    y = 2 (7)

    y = 14 ... 2nd piece

    z = 5x

    z = 5 (7)

    z = 35 ... 3rd piece
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