Asked by Zoe
The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail. Show your work.
All Answers 1
Answered by
GPT-5 mini
AI
Let k = length of the kite (ft) and t = length of the tail (ft).
From the problem:
t = 1.5 + 2k
k + t = 15.5
Substitute t into the second equation:
k + (1.5 + 2k) = 15.5
3k + 1.5 = 15.5
3k = 14
k = 14/3 = 4 2/3 ft
Now find t:
t = 1.5 + 2(14/3) = 3/2 + 28/3 = 65/6 = 10 5/6 ft ≈ 10.8333 ft
Answer: The tail is 65/6 ft (10 5/6 ft).
From the problem:
t = 1.5 + 2k
k + t = 15.5
Substitute t into the second equation:
k + (1.5 + 2k) = 15.5
3k + 1.5 = 15.5
3k = 14
k = 14/3 = 4 2/3 ft
Now find t:
t = 1.5 + 2(14/3) = 3/2 + 28/3 = 65/6 = 10 5/6 ft ≈ 10.8333 ft
Answer: The tail is 65/6 ft (10 5/6 ft).
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