SOLUTION: A rope is square root of 250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 2:3. What is the length fo the longer piece expressed i

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A rope is square root of 250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 2:3. What is the length fo the longer piece expressed i      Log On


   



Question 83891: A rope is square root of 250 units long. The rope is cut into two pieces, so that the lengths of the pieces are in the ratio 2:3. What is the length fo the longer piece expressed in simplest radical form? Thanks alot.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Longer Piece = 3x
Shorter Piece = 2x
3x + 2x = sqrt(250)
5x = 5*sqrt(10)
x = sqrt(10)
Longer Piece = 3*sqrt(10)