So, I going to denote head to h, body to b, and tail to t.
The tail is equal to the head (9 inches) plus half the body.
\(t=9+\frac{1}{2}b\)
The body is the size of the head plus the tail.
\(b=9+t\)
Now, plug the first equation into the second for t.
\(b=9+(9+\frac{1}{2}b)\)
Simplify.
\(b=18+{1\over2}b\)
Multiply everything by 2 to get rid of fractions.
\(2b=36+b\)
Subtract b from both sides.
\(b=36\)
So, the body is 36 inches long
Now, plug 36 into the first equation.
\(t=9+{36\over2}\)
Simplify.
\(t=9+18\)
\(t=27\)
So, the head is 9 inches long, the body is 36 inches long, and the tail is 27 inches long.
For the full length it is h+b+t, or \(9+36+27\).
\(9+36+27=72\)
So your fish is 72 inches long (now that's a catch!)