A 123 in. long pipe is cut into three pieces such that the second piece is fifteen in. more than the first piece, and the third piece is eight in. more than three times the second piece.

A) Letting $\displaystyle {x}$ be the length of the first piece, write an equation that equates the given total length of the board to the sum of the lengths of the three pieces as described in the problem. Make sure your equation models the situation exactly, i.e. do not write a simplified version of the equation.  

	+		+		=	123
1st piece		2nd piece		3rd piece

B) Simplify the left side of your equation:

      = 123

C) Solve your equation to find lengths of each of the three pieces: The first piece measures in., the second piece measures in., and the third piece measures in.