A farmer raises chickens and goats. She knows she has 22 animals all together. All together her animal has 56 feet. how many of each type of animal does she have?

Answer 1

Okay, the chickens have 2 feet and the goats have 4. So let’s make the number of chicks C and the number of goats G.
So the number of legs would be 2 x C + 4 x G which is equal to the total number of feet, or 56

2C + 4G = 56
And, we know she has 22 altogether, right? So C + G = 22
Now, you have 2 equations and can solve.
C=22-G
2C + 4G = 56
Or 2 [22-G] + 4G = 56
44-2G+4G=56
44+2G=56
2G=12
G=6
So, the number of goats is 6, and that means the number of chicks has to be 16.
See?

Answer 2

You didn't describe further how will get c=16
G=6
And more is 16+6=22
So 32+24=56