Answer: There are 133 chickens and 20 pigs.
Step-by-step explanation:
Let x be the number of chickens and y be the number of pigs.
Given : Number of heads of pigs and chicken = 153
Number of feet = 346
Since one chicken has 2 legs and one pig has 4 legs.
By considering the given information, we have the following system of equations:-
[tex]x+y=153------(1)\\\\ 2x+4y=346---------(2)[/tex]
Multiply 2 on both sides of (1), we get
[tex]2x+2y=306-----(3)[/tex]
Subtract (3) from (2), we get
[tex]2y=40\\\\\Rightarrow\ y=\dfrac{40}{2}=20[/tex]
Put value of y in (1), we get
[tex]x+20=153\\\\\Rightarrow\ x=153-20=133[/tex]
Hence, there are 133 chickens and 20 pigs.
