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A fish had a tail as long as its head plus a quarter the
lenght of its body. Its body was
three-quarters of its total length. Its head was 4 inches long.
What was the length of the fish?
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Answer / guest
The fish is 128 inches long.
It is obvious that the lenght of the fish is the summation
of lenghts of the head, the body and the
tail. Hence,
Fish (F) = Head (H) + Body (B) + Tail (T)
But it is given that the lenght of the head is 4 inches i.e.
H = 4. The body is three-quarters of
its total length i.e. B = (3/4)*F. And the tail is its head
plus a quarter the lenght of its body
i.e. T = H + B/4. Thus, the equation is
F = H + B + T
F = 4 + (3/4)*F + H + B/4
F = 4 + (3/4)*F + 4 + (1/4)*(3/4)*F
F = 8 + (15/16)*F
(1/16)*F = 8
F = 128 inches
Thus, the fish is 128 inches long.
| Is This Answer Correct ? | 78 Yes | 16 No |
Answer / abhinav sharma
Total length of fish will be
Fish = Head + Body + Tail
Let Body be X inches
then
Fish = 4/3x inches
head = 4 inches
tail = 4 + 1/4x inches
so,
4/3X = 4 + X + 4 + 1/4X
4/3X = (32+5x)/4
x = 96 inches
| Is This Answer Correct ? | 10 Yes | 34 No |
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