Question

On a farm there are three-legged-cows and chickens. There are total of 127 heads and 353 legs. How many three-legged-cows are on the farm?

Answer 1

Answer: There are 99 three-legged-cows and 28 chickens.

Explanation:

Let x be the number of three-legged-cows and y be the number of chickens.

Number of legs in chicken = 2

The according to the question, we have the following equations :-

`\text{For heads }x+y=127------(1)\\\\\text{For legs }3x+2y=353------(2)`

Multiplying 2 to the equation (1), we get

`2x+2y=254--------(3)`

Now, subtract equation (3) from (2), we get

`x=353-254=99`

Put x= 99 in (1), we get

`99+y=127\\\\\Rightarrow\ y=127-99=28`

Hence, there are 99 three-legged-cows and 28 chickens.