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A stick is cut into three pieces,each having a different length.Each piece(except the shortest)is twice as long as another piece.What fraction of the whole stick is each piece?

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  1. Let 1/x be the length of the shortest stick.

    Thus, the expressions for the other two sticks are 2/x and 4/x. From this, you get this equation:

    1/x + 2/x + 4/x = 1

    Multiply both sides by x

    1 + 2 + 4 = x

    x = 7

    Therefore...
    short stick = 1/7 of whole stick
    middle stick = 2/7 of whole stick
    long stick = 4/7 of whole stick

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  2. So good! Is there another way of doing this?

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