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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?

Answers were Sorted based on User's Feedback



A fish had a tail as long as its head plus a quarter the lenght of its body. Its body was thre..

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

A fish had a tail as long as its head plus a quarter the lenght of its body. Its body was thre..

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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