A farmer has birds and beasts he has 36 heads and 100 feet how many birds and beasts are there?

14 beasts and 22 birds

I agree.

Let b = birds (2 legs each)

Let a = animals (4 legs each)

So 2b + 4a = 100 and b + a = 36

2b + 2a = 72

and 2a = 28 So a = 14 animals or beasts

Then b + 14 = 36 and b = 22