A fish has a head 9 inches long. | → | h = 9 |
The tail equals the size of the head plus one-half the size of the body. | → | t = h + b/2 |
The body is the size of the head plus the tail. | → | b = h + t |
b = h + t Since h = 9 , we can substitute 9 in for h .
b = 9 + t
t = h + b/2 Substitute 9 + t in for b and 9 in for h .
t = 9 + (9 + t)/2 Multiply through by 2 .
2t = 18 + 9 + t
2t = 27 + t Subtract t from both sides.
t = 27
b = h + t Substitute 9 in for h and 27 in for t .
b = 9 + 27
b = 36
And the total length of the fish = h + b + t
h + b + t = 9 + 36 + 27 = 72 inches
I also get 72 inches, like AT and helperid.