SOLUTION: A 210 ft long rope is cut into 3 pieces. The first piece of rope is 3 time as long as the second piece of rope. The third is 2 time as long as The second piece of rope. What is the

Algebra ->  Test -> SOLUTION: A 210 ft long rope is cut into 3 pieces. The first piece of rope is 3 time as long as the second piece of rope. The third is 2 time as long as The second piece of rope. What is the      Log On


   



Question 696439: A 210 ft long rope is cut into 3 pieces. The first piece of rope is 3 time as long as the second piece of rope. The third is 2 time as long as The second piece of rope. What is the length of the longest piece of rope? Can someone please solve and exlpain how to solve this problem?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x ft -= length of second piece.
length of first piece = 3x ft
length of third piece = 2x ft
Total length (in feet) = 3x%2Bx%2B2x=6x=210
6x=210 --> 6x%2F6=210%2F6 --> x=35
The length (in feet) of the longest piece (the first piece) is
3x=3%2A35=highlight%2835%29