In a poultry farm having hens and pigs, Rohan can see 84 heads and 282 legs.How many hens are there?Options272937NONE

This problem can be solved using a system of linear equations.

Let's denote the number of hens as H and the number of pigs as P.

From the problem, we know two things:

1. The total number of heads is 84, which means H + P = 84.

2. The total number of legs is 282. Since hens have 2 legs and pigs have 4, this gives us the equation 2H + 4P = 282.

We can simplify the second equation by dividing by 2, which gives us H + 2P = 141.

Now we have a system of two equations:

H + P = 84 H + 2P = 141

Subtracting the first equation from the second gives us P = 57.

Substituting P = 57 into the first equation gives us H + 57 = 84, so H = 84 - 57 = 27.

So, there are 27 hens in the poultry farm. The correct option is 27.