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
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-> 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
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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
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S=45-L
L=45-S
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3L-7=5S
(3L-7)/5=S
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L=45-S
L=45-((3L-7)/5)
5L=225-(3L-7)
5L=225-3L+7
8L=232
L=29
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S=45-L=45-29=16
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ANSWER: The long piece is 29 feet and the short piece is 16 feet.
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CHECK:
3L-7=5S
3(29)-7=5(16)
87-7=80
80=80
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