Question

In a deer park, the number of heads and the number of legs of deer and human visitors were counted and
it was found that there were 39 heads and 132 legs. Find the number of deer and human visitors in the
park

Answer 1

Let there be x deer and y human visitors in the park at the given time.

As a deer and a human each has one head, we get

x + y = 41

As a deer has 4 legs and a human has 2 legs, we get

4x + 2y = 136 = 2x + y = 68

Subtracting (i) from (ii), we get

x = 27.

Substituting x = 27 in (i), we get

27 + y = 41 = y = 14.

Hence, there were 27 deer and 14 human visitors in the park.