SOLUTION: a rope 82cm long is cut into two pieces with one peice 4 more than twice as long as the other. find the length of each piece.

Question 147637: a rope 82cm long is cut into two pieces with one peice 4 more than twice as long as the other. find the length of each piece.
Answer by 24HoursTutor.com(40) (Show Source): You can put this solution on YOUR website!
Let the first piece of rope be x
The second piece of rope is then 4 + 2x
We know that together they were 82 cm. So we can write the equations as:
x+2x+4=82
3x+4=82
3x=82-4
3x=78
x=78/3
x=26, the length of the first piece of rope
4+2x=4+52=56, the length of the second piece of rope.
Ans.: The length of the two pieces of rope are 26cm and 56 cm.
The above question is solved by one of the experts from 24HoursTutor.com
We provide live 1:1 online homework help
1. 24X7 tutors available
2. Certified tutors
3. Only for $9.99/hr
RELATED QUESTIONS
A 60 foot rope is cut into four pieces, with each successive piece twice as long as the... (answered by ichudov,padejr)

A 60-foot rope is cut into four pieces,with each successive piece twice as long as the... (answered by Fombitz)

A 60-foot rope is cut into four pieces, with each successive piece twice as long as the... (answered by TimothyLamb)

A 60 ft. pipe is divided into three peices. One peice is twice a long as the shortest... (answered by checkley71,josmiceli)

A 25 inch rope is cut into 3 peices such that the middle sized peice is 1 inch longer... (answered by tonyna22)

A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut... (answered by josgarithmetic)

the problem is: a 45ft rope is cut into 3 peices. the 2nd peice must be twice as long as (answered by Paul)

a rope that is 33 feet long is cut into three pieces one piece is twice as long as the... (answered by josmiceli)

A 36 foot pipe is divided into three peices. One peice is twice as long as the shortest... (answered by checkley71)