Question

The combined number of chickens and rabbits on a farm is 100. There are a total of 260 feet on these animals. How many chickens are there?

Answer 1

Let the number of chickens be x and the number of rabbits be y.

It is given that there are 100 animals on the farm so it follows:

`\begin{gathered} x+y=100 \\ y=100-x\ldots(i) \end{gathered}`

A rabbit has 4 feet and chicken has 2 feet and it is given that the total number of feet is 260 so it follows:

`2x+4y=260\ldots(ii)`

Substitute (i) in (ii) to get: