SOLUTION: A 48-foot rope is cut into three lengths. The second length of rope is twice the first length. The third length of rope is one-fifth the first length. What is the third length?
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Question 857637: A 48-foot rope is cut into three lengths. The second length of rope is twice the first length. The third length of rope is one-fifth the first length. What is the third length? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let the lengths = , , and
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(1)
(2)
(3)
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Substitute (2) and (3) into (1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
and
(2)
(2)
and
(3)
(3)
the 3rd length is 3 ft
check:
(1)
(1)
(1)
