SOLUTION: A 50 ft rope is cut into two pieces. One piece is 2 ft longer than twice the length of the other. Find the length of the longer piece.
Algebra.Com
Question 831132: A 50 ft rope is cut into two pieces. One piece is 2 ft longer than twice the length of the other. Find the length of the longer piece.
Answer by rm29924(97) (Show Source): You can put this solution on YOUR website!
Let x = the shorter piece
the longer piece = 2x + 2
the two pieces added together = 50 ft
x + 2x + 2 = 50
3x + 2 = 50
3x = 48
x = 16
2x + 2
2(16) + 2
32 + 2 = 34
the longer piece is 34 ft
RELATED QUESTIONS
A 54 ft rope is to be cut into 2 pieces so that one piece is 9 feet more than the length (answered by checkley77)
A 14-foot board is cut into two pieces. Twice the length of the shorter piece is 5 ft... (answered by checkley77)
Cut a 12-ft beam into two pieces so that one piece is 18 in. longer than the other. Find... (answered by josmiceli)
Application Problems:
A fishing line 3 ft. long is cut into two pieces, one shorter... (answered by stanbon)
A 24-ft board is cut into two pieces. One piece is twice the length of the other. Find... (answered by nyc_function)
A 20-foot board is cut into two pieces. Twice the length of the shorter piece is 2 ft... (answered by ReadingBoosters)
A 21 ft board is cut into two pieces. The shorter piece is 5 ft than the longer piece .... (answered by math-vortex)
A 45-foot rope is cut into 2 pieces. Seven less than three times the length of the longer (answered by macston)
A 22-foot rope is cut into 2 pieces. Seven less than four times the length of the longer... (answered by Boreal)