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7 November, 19:30

a 54-inch board is to be cut into three pieces so that the second piece is 3 times 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.

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  1. 7 November, 21:58
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    x + 3x + 5x = 54

    Combine like terms

    9x = 54

    x = 6

    Now we know that the base length, x, is equal to 6.

    From there, we can find the length of the other values as well.

    Second piece: 3x = 18

    Third piece: 5x = 30
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