SOLUTION: in a farm there are two kinds of animals chicken and a pig. If the total of the head in 49 and the total feet is 100, how many are chicken and how many are pig?

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Question 576102: in a farm there are two kinds of animals chicken and a pig. If the total of the head in 49 and the total feet is 100, how many are chicken and how many are pig?
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

In order for this to work, you have to assume that there are no two-headed chickens or three-legged pigs, or any other anomalies. In general and in real life, making such assumptions is not necessarily wise. But for the purposes of a 2X2 system word problem, it is probably ok.

Chickens and pigs all have 1 head each, so if is the number of chickens and is the number of pigs, then:

Chickens have 2 legs and pigs have 4 legs so:

Solve the 2X2 system for and

John

My calculator said it, I believe it, that settles it