Question

Farmer Doug has some pigs and chickens. One day he counted 24 legs and 7 heads in the barnyard. How many Of each animal did Farmer Doug count?

Answer 1

5 pigs and 2 chickens

Answer 2

Answer: Farmer Doug counts 2 chickens and 5 pigs.

Step-by-step explanation:

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

Since a chicken has 2 legs and a pig has 4 legs

According to the question , we have two equations :-

$x+y=7.......................(1)\\\\2x+4y=24.........................(2)$

Divide 2 on both sides in equation (2), we get

$x+2y=12...............(3)$

Now, Subtract equation (1) from (3), we get

$y=5$

Put y=5 in (1) , we get

$x+5=7\\\\\Rightarrow\ x=7-5=2$

Hence, Farmer Doug counts 2 chickens and 5 pigs.