Guess what? I don't know an easy way either!
Here is my suggestion.
Make a sort of a spreadsheet; use the computer if you have access.
Start with the quarters.
4 quarters
3 quarters, 5 nickels
2 dimes and a nickel
1 dime and 2 nickels
2 quarters, 10 nickels
5 dimes
8 nickels and 2 dimes
Now just keep going...eventually you will exhaust the quarters. Then start with dimes and nickels alone. Exhaust the combinations with dimes and then, last but not least 20 nickels.
I am sorry I can't be more help, but I know of no easier way.