SOLUTION: A 60-foot rope is cut into four pieces, with each successive piece twice as long as the previous one. Find the length of the longest piece.

Question 816870: A 60-foot rope is cut into four pieces, with each successive piece twice as long as the previous one. Find the length of the longest piece.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
d = 2c
c = 2b
b = 2a
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d = 8a
c = 4a
b = 2a
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a + b + c + d = 60
---
a + 2a + 4a + 8a = 60
15a = 60
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a = 4 ft
b = 8 ft
c = 16 ft
d = 32 ft
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Answer:
the longest piece is 32 ft
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