A fish’s tail weighs 9 lb. Its head weighs as much as its tail plus half its body. Its body weighs as much as its head and tail. How many pounds does the fish weigh?
Total fish weigh 72 lb.
Say, tail = x, body= y & head= z
Then x= 9 lb
As per question z = x+1/2y = 9+1/2y
Again y= x+z = 9+9+1/2y = 18+1/2y [put the value of x & z]
So, y-1/2y= 18
1/2y = 18
Then y = 36
Therefore z = 9+1/2y = 9+1/2*36 = 9+18
So z = 27
As we know that total fish weigh = head+ body + tail = x+y+z
= 9+27+36= 72 lb