and .
The money count equation can also be stated as .
That is FOUR unknown variables and only TWO equations. Are you given any more information in the description? Are you expecting a counting principles or discrete type of analysis?
How about 3 quarters and 1 nickel and 3 dimes? I found this by first setting number of quarters to 4, and found I could not quickly find a good intuitive combination of dimes and nickels; so I chose to try 3 quarters, and went a little up and down with nickels and dimes, and found that given combination: 3 quarters, 1 nickel, 3 dimes.