SOLUTION: A 100-foot rope is cut into three pieces. The third piece is triple the size of the first piece. The second piece is 4 times the size of the first piece. What is the length of the

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A 100-foot rope is cut into three pieces. The third piece is triple the size of the first piece. The second piece is 4 times the size of the first piece. What is the length of the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 899290: A 100-foot rope is cut into three pieces. The third piece is triple the size of the first piece. The second piece is 4 times the size of the first piece. What is the length of the shortest piece of rope?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A 100-foot rope is cut into three pieces. The third piece is triple the size of the first piece. The second piece is 4 times the size of the first piece. What is the length of the shortest piece of rope?

------------------
1st piece: x
3rd piece: 3x
2nd piece: 4x
-----
Equation:
x + 3x + 4x = 100
8x = 100
x = 12.5 ft (1st piece)
3x = 37.5 ft (3rd piece)
4x = 50 ft (2nd piece)
--------------
Cheers,
Stan H.
--------------