SOLUTION: The fish has a head 9cm long. The tail is equal to the size of the head plus one half the size of the body. The body is the size of the head plus the tail. How long is the fish?

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Question 1189005: The fish has a head 9cm long. The tail is equal to the size of the head plus one half the size of the body. The body is the size of the head plus the tail. How long is the fish?
I have tried H= 9
T= 9+B/2
B = 9+9+B/2
So B= 36+B...?
Found 3 solutions by MathLover1, josgarithmetic, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
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let the size of the body be b, the size of the head h, and the size of the tail tand total length L
then L=b%2Bh%2Bt
given:
h=9cm
The tail is equal to the size of the head plus one half the size of the body.
t=h%2Bb%2F2
The body is the size of the head plus the tail.
b=h%2Bt.........substitute t=h%2Bb%2F2
b=h%2Bh%2Bb%2F2
b-b%2F2=2h
b%2F2=2h
b=4h
t=h%2Bb%2F2 ......substitute b=4h
t=h%2B4h%2F2
t=h%2B2h
t=3h
then, substitute all in
L=4h%2Bh%2B3h ....substitute h=9cm
L=4%2A9%2B9%2B3%2A9
L=72
the fish is 72cm long



Answer by josgarithmetic(39617) About Me  (Show Source):
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h, t, b
system%28h=9%2Ct=h%2Bb%2F2%2Cb=h%2Bt%29

t=h%2B%28h%2Bt%29%2F2
2t=2h%2Bh%2Bt
2t=3h%2Bt
t=3h
-
t=3%2A9
highlight_green%28t=27%29
-
b=h%2Bt
b=9%2B27
highlight_green%28b=36%29
-
h was given as 9.

Length of the fish:
h%2Bt%2Bb
9%2B27%2B36
highlight%2872%29

Answer by Alan3354(69443) About Me  (Show Source):
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Fish heads and potato peels.
Yummy.