Solving for n and d in terms of q:



Since 










So from the above, we can calculate 4 cases:

7 quarters, 20 nicklea, and 13 dimes.
8 quarters, 23 nicklea, and 9 dimes.
9 quarters, 26 nicklea, and 5 dimes.
10 quarters, 29 nicklea, and 1 dimes.

Edwin