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 :-
[tex]x+y=7.......................(1)\\\\2x+4y=24.........................(2)[/tex]
Divide 2 on both sides in equation (2), we get
[tex]x+2y=12...............(3)[/tex]
Now, Subtract equation (1) from (3), we get
[tex]y=5[/tex]
Put y=5 in (1) , we get
[tex]x+5=7\\\\\Rightarrow\ x=7-5=2[/tex]
Hence, Farmer Doug counts 2 chickens and 5 pigs.
