Question

In a cage, there are rabbits and parrots and the number of heads are $28$ and feet are $72$. Find the number of parrots and rabbits.

• A. $20,8$
• B. $8,20$
• C. $14,14$
• D. $12,16$
• E. None of these

Answer 1

The correct option is B $8,20$

Let there be $x$ parrots and $y$ rabbits
As per the problem,
Total number of heads $=28=x+y$ ...(i)
Total number of legs $=72=2x+4y$
$=x+2y=36$ ...(ii)
Solving equation (i) and equation (ii)
$x+y=28$
$x+2y=36$
$y=8$
and $x+y=28$ or $x=288=20$
So there are 20 parrots and 8 rabbits