SOLUTION: A 180-m wire is cut into three pieces. The third piece is 2 m longer than the first. The second is two-thirds as long as the first. How long is each piece?

Question 453140: A 180-m wire is cut into three pieces. The third piece is 2 m longer than the first. The second is two-thirds as long as the first. How long is each piece?
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's have w represent the first wire and 2/3(w) be the second and w+2 be the third wire. New we can set up the equation as:
w+2/3(w)+w+2=180
Multiply by 3 to get:
3w+2w+3w+6=540
Combine like terms and subtract 6:
8w=534
Divide by 8 toget:
w=66.75 or 66 3/4 meters
Now you can figure out the other two lengths.
Make sense?
RJ
www.math-unlock.com
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