You want to buy 100 birds for exactly 100 coins. How many roosters, hens and chicks can you buy if a rooster costs 5 coins, a hen costs 4 coins and the price for four chicks is 1 coin.

Do I set this up like this:

5R + 4H + (1/4)C = 100

R+C+H = 100

I seem to be going in a circle on this little problem. Any suggestions?