A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?

Let the first piece be x feet. The three pieces have lengths x, 3x, and 5x + 2, so x + 3x + (5x + 2) = 47. Solving gives 9x = 45, so x = 5; the pieces are 5, 15, and 27 feet. The longest piece is 27 feet, choice C.

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