Question

In a zoo, there are deer and ducks. If the heads are counted, there are $180$, while the legs are $448$. What is the number of deer in the zoo?

• A. $136$
• B. $72$
• C. $44$
• D. $88$

Answer 1

The correct option is C $44$

Average legs per head $=\frac{448}{180}$


Deer : Ducks $=88:272$
Hence, the number of deer $=\frac{180\times 88}{360}=44$

Alternate solution:
Let $x$ and $y$ be number of ducks and deer respectively.
$x+y=180$ (Heads count)
$2x+4y=448$ (Legs count)
Solving above equations, $x=136,y=44$