Question

On a farm there are a total of 50 cows and chickens. these animals have a total of 124 legs in all how many more chickens then cows are there

please explain how you solved this problem show your work thanks ​

Answer 1

There are
`38` chicken and
`12` cows.

Explanation:

Each cow has four legs, while each chicken has two.

Assume that all
`50` animals are cows. Under this assumption, there would be
`4 * 50 = 200` legs in total.

For each chicken counted as a cow, this calculation would have counted
`(4 - 2) = 2` extra legs.

In total, this calculation counted
`200 - 124 = 76` extra legs. Since every two extra legs correspond to a chicken, those
`76` extra legs would correspond to
`76 / 2 = 38` chickens counted as cows.

In other words,
`38` of those
`50` animals are chicken. There would then be
`50 - 38 = 12` cows among those animals.