A 7 foot piece of PVC pipe is cut into three pieces. The longest piece is 13 inches longer than three times the smallest piece. The middle p

Question

A 7 foot piece of PVC pipe is cut into three pieces. The longest piece is 13 inches longer than three times the smallest piece. The middle piece is 5 inches less than the longest piece. How long is the middle piece? Round your answers to the nearest inch, if necessary.

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Nevaeh 1 week 2021-09-11T02:21:09+00:00 1 Answer 0

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    2021-09-11T02:22:40+00:00

    Let x represent length of smallest piece.

    We have been given that the longest piece is 13 inches longer than three times the smallest piece. So length of longest piece would be 3x+13.

    The middle piece is 5 inches less than the longest piece. So length of middle piece would be 3x+13-5=3x+8.

    We have been given that the length of pipe is 7 foot.

    1 feet = 12 inches.

    7 feet = 7*12 inches = 84 inches.

    Now we will equate the sum of lengths of 3 pipes with 84 as:

    x+3x+13+3x+8=84

    Let us solve for x.

    7x+21=84

    7x+21-21=84-21

    7x=63

    \frac{7x}{7}=\frac{63}{7}

    x=9

    Length of middle piece would be 3x+8\Rightarrow 3(9)+8=27+8=35.

    Therefore, the middle piece is 35 inches long.

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45:7+7-4:2-5:5*4+35:2 =? ( )