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March 28, 2017

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I know the answer, but is there a formula to show work?
Amy had a piece of wire 96 inches long. She cut the wire into 3 pieces. The second piece was 6 inches longer than the first piece. The third piece is 9 inches longer than the second. What was the length of each piece of wire?
The answers I got were 25,31,40. But it was from trial and error from 3/96=32

  • Math word problem - ,

    first piece : x
    second piece : x+6
    third piece : (x+6)+9 = x+15

    x + x+6 + x+15 = 96
    3x = 75
    x = 25

  • Math word problem - ,

    F = length of FIRST piece.
    S = length of SECOND piece.
    T = length of THIRD piece.
    =========================
    F + S + T = 96
    In addition we know,
    S = F+6
    T = S+9 which = F+6 + 9.
    ======================
    Substitute into F + S + T = 96
    for F.
    F + F+6 + F + 6 + 9.
    Solve for F, then S, then T.
    The answers are the same as yours by trial and error.

  • Math word problem - ,

    Thank You so much. It looks so simple, and makes sense the way you wrote it out!

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