An algebra problem by Sohail Brahmani
Algebra
Level
2
The fish has a head 9" long, the tail is equal to the size of the head plus one-half the body, the body is the size of the head plus the tail. How long is the fish?
72
27
32
74
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1 solution
T = tail of the fish B= body of the fish head = 9''
Solution . . . .
T = 9 + B/2 B = 9 + T
Substitute the top one into the bottom:
B = 9 + 9 + B/2 B/2 = 18 B = 36
Substitute that into the bottom equation:
36 = 9 + T T = 18
So we have the:
head + body + tail = 9 + 36 + 18 = 72"