Question

In a group of cows and hens, the number of legs are $14$ more than twice the number of heads. How many cows are in the group?

• A. $5$
• B. $7$
• C. $11$
• D. $12$

Answer 1

The correct option is B $7$

Let the number of cows be $x$ and the number of hens be $y,$ then
Number of legs in the group $=4x+2y$

Number of heads in the group $=x+y$
$4x+2y=2(x+y)+14$
$4x+2y=2x+2y+14$
$x=7$
So, there are $7$ cows in the group.
Hence, option $\left(B\right)$ is the correct answer.