Sam is creating a farming and agriculture diorama for a school project. The land features and physical structures are complete, and he now needs to add the miniature livestock models. At the hobby shop, model chickens cost 50 cents each. Model goats cost $3.50 each. Model cows cost $10.00 each. He would like to spend exactly $100.00 (not including tax) and he'd like to buy exactly 100 animals. He needs to have at least one of each kind of animal. How many of each should he buy to satisfy these conditions?