dma 040

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42 inch board is cut into 3 pieces. Piece 2 is twice as long as the 1st & 3rd piece. Piece 3 is three times as long as piece 1. Find inches of all three pieces

  • dma 040 - ?? -

    Is piece 2 twice as long as 1 & 3 combined? Or separately?

  • dma 040 -

    separately

  • dma 040 -

    If piece 2 is twice piece 1, then
    x = piece 1
    3x = piece 3 (3 times piece 1)
    2x = piece 2 (twice piece 1)
    x + 3x + 2x = 42
    6x = 42
    x = 7
    Piece 1 - 7
    Piece 2 - 14
    Piece 3 - 21

  • dma 040 -

    If piece 2 is twice piece 3, then
    x = piece 1
    3x = piece 3 (3 times piece 1)
    2(3x) = piece 2 (twice piece 3)
    x + 3x + 2(3x) = 42
    10x = 42
    x = 4.2
    Piece 1 - 4.2
    Piece 2 - 12.6
    Piece 3 - 25.2

  • dma 040 -

    If piece 2 is twice piece 1 & 3, then
    x = piece 1
    3x = piece 3 (3 times piece 1)
    2(3x + x) = piece 2 (twice piece 1 & 3)
    x + 3x + 2(4x) = 42
    12x = 42
    x = 3.5
    Piece 1 - 3.5
    Piece 2 - 10.5
    Piece 3 - 28

  • dma 040 -

    I'm confused. Shouldn't pc 2 be the largest since it says that pc2 is twice as long as pc 1&3, and pc 3/three times as long as pc1

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