SOLUTION: A 25- inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A 25- inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 263208: A 25- inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's first establish "x" for the first piece of steel. The second one is going to be "2x" and the 3rd piece will be 5x+1. Now we can set ou the equation as:
x+2x+5x+1=25 Combine like terms to get:
8x+1=25 Now subtract 1 from both sides to result in:
8x=24 Divide 8 into both sides to get:
x=3 inches for the first one.
I'll let you figure the lengths of the other 2 pieces.
RJ
Check out a new book I wrote at:
www.math-unlock.com