A pipe is to be cut up such that the second piece is 3 inches shorter than the first and the third piece is four inches more than the

Question

A pipe is to be cut up such that the second piece is 3 inches shorter than the first and the third piece is
four inches more than the first. How long is each piece if the pipe is 84 inches long?

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niczorrrr 3 months 2021-08-15T08:30:09+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-15T08:31:13+00:00

    Answer:

    F = 27\frac{2}{3}

    S = 24\frac{2}{3}

    T = 31\frac{2}{3}

    Step-by-step explanation:

    Represent the first piece with F, the second with S and the third with T.

    So:

    S = F - 3

    T =4+ F

    S + T + F = 84

    Required

    Find the length of each piece

    Substitute S = F - 3 and T =4+ F in S + T + F = 84

    F - 3 + 4 + F + F = 84

    Collect like terms

    3F = 84 + 3 - 4

    3F = 83

    Divide through by 3

    F = \frac{83}{3}

    F = 27\frac{2}{3}

    Substitute F = 27\frac{2}{3} in S = F - 3 and T =4+ F

    S = F - 3

    S = 27\frac{2}{3} - 3

    S = 24\frac{2}{3}

    T =4+ F

    T = 4 + 27\frac{2}{3}

    T = 31\frac{2}{3}

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