SOLUTION: A 45-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece x is five times the length of the shorter piece, which is (45 − x) ft. Fi
Algebra.Com
Question 1021617: A 45-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece x is five times the length of the shorter piece, which is (45 − x) ft. Find the length of the longer rope piece x (in ft). (Enter an exact number.)
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
S=shorter piece; L=longer piece
.
S=45-L
L=45-S
.
3L-7=5S
(3L-7)/5=S
.
L=45-S
L=45-((3L-7)/5)
5L=225-(3L-7)
5L=225-3L+7
8L=232
L=29
.
S=45-L=45-29=16
.
ANSWER: The long piece is 29 feet and the short piece is 16 feet.
.
CHECK:
3L-7=5S
3(29)-7=5(16)
87-7=80
80=80
.
RELATED QUESTIONS
A 21-foot rope is cut into 2 pieces. Seven less than three times the length of the longer (answered by mananth)
A 22-foot rope is cut into 2 pieces. Seven less than four times the length of the longer... (answered by Boreal)
A 45 foot rope is to be cut into 3 pieces. The second piece must be twice as long as the... (answered by nerdybill,rapaljer)
a 46 foot piece of rope is cut into three pieces so that the second piece is 3 times as... (answered by rfer)
A 90 foot rope is cut into two pieces so that the longer piece is 5 feet more than three... (answered by drj)
a 120 foot long rope is cut into 3 pieces. the first piece of rope is twice as long as... (answered by RAY100)
A 17 foot rope is to be cut into two pieces with the result that the longer piece is 1... (answered by ankor@dixie-net.com)
A 120-foot long rope is cut into 3 pieces. The first piece is twice as long as the second (answered by jorel1380)
A 257 foot rope is cut into 4 pieces. The second piece is 3 feet longer than twice the... (answered by ankor@dixie-net.com)