a piece of rope is 40 feet long it is cut into three pieces. One piece is 25 feet longer than the shortest piece. The third piece is three times as long as the shortest piece find the length of the third piece?

  9 ft

Step-by-step explanation:

Let x represent the shortest piece. Then the sum of lengths is ...

  x + (x +25) +3x = 40

  5x = 15

  x = 3

  3x = 9

The third piece is 9 feet long.

Check

The pieces are 3 ft, 28 ft, 9 ft, so total 40 ft, as required.

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