See if you can figure out this Benjamin Banneker mathematical puzzle..?

I got the following mathematical challenge from a friend. A bit of Googling revealed that the original challenge was presented by Benjamin Banneker.

You must spend $100 and buy 100 animals from the following list.

You must buy at least one of each category.

Cows $5.oo each

Goats $1.00 each

Chickens .05 cents each

How many Cows, Goats and Chickens you have to buy to meet the above two conditions ?

Playing with the parameters of the puzzle showed that solutions exists for different combinations of prices of animals, total spent and total number of animals purchased. 

Feel free the try out different combinations and see which ones meet the two criteria.

Example: How many Cows ($5), Goats(1$) and Chickens ($0.05) do you have to select to purchase 99 animals using $100 ?

Cow: 
 


Goat: 



Chicken: 



Total Animals: 
 


Total Amount: