Question 622171: A 144-inch length of pipe is to be cut into 3 pieces. The second piece is twice as long as the first piece. The third piece is 20 incheslonger than the first piece. Each piece is to be sold to a different customer. If the pipe costs $0.08 per inch, how much will the longest piece of pipe cost?
Answer by matineesuxxx(27)   (Show Source):
You can put this solution on YOUR website! first make the statement: x+y+z=144
since the second is twice as long as the first, this means,
y=2x
now the third is 20 inches longer than the first, so we have:
z=20+x
so we get x+(2x)+(20+x)=144
4x + 20 = 144
4x=124
x= 31
now by the statements y=2x and z=20+x we see that y>z>x so y is the longest piece of pipe at 62 inches long, so to find the cost we get,
62*0.08 = $4.96
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