SOLUTION: A 5,000-foot rope is cut into 2 pieces. The length of one piece is 10 feet shorter than 4 times the length of the other. How long is each piece?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A 5,000-foot rope is cut into 2 pieces. The length of one piece is 10 feet shorter than 4 times the length of the other. How long is each piece?      Log On


   

Question 391165: A 5,000-foot rope is cut into 2 pieces. The length of one piece is 10 feet shorter than 4 times the length of the other. How long is each piece?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can call the lengths x and 5000+-+x
5000+-+x+=+4x+-+10
5x+=+5010
x+=+1002
5000+-+x+=+3998
The 2 pieces are 1002 ft and 3998 ft