Answer:
The number of chicken and cows should be 19 and 11.
Step-by-step explanation:
The number of chicken and cows should be 19 and 11.
Given that,
The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.
Let x represent the number of chickens in the farm.
Let y represent the number of cows in the farm.
Based on the above information, the calculation is as follows:
x + y = 30
Since a chicken has 2 legs and a cow has 4 legs.
So,
2x + 4y = 82 - - - - - - - - - - - - 1
Now
Substituting x = 30 - y into equation 1, it becomes
2(30 - y) + 4y = 82
60 - 2y + 4y = 82
- 2y + 4y = 82 - 60
2y = 22
y = 11
Now
x = 30 - 11
= 19
