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

1. 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 .

The middle piece is 5 inches less than the longest piece. So length of middle piece would be .

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: Let us solve for x.     Length of middle piece would be .

Therefore, the middle piece is 35 inches long.