If you use no quarters you can use from 0 up to 10 dimes and the rest
if any in nickels.  That's 11 ways.

If you use just 1 quarter, you can make the remaining 75 cents by using 
from 0 up to 7 dimes and the rest in nickels.  That's 8 more ways.
 
If you use 2 quarters, you can make the remaining 50 cents by using from
0 up to 5 dimes and the rest if any in nickels.  That's 6 more ways.

If you use 3 quarters, you can make the remaining 25 cents by using from 
0 up to 2 dimes and the rest in nickels.  That's 3 more ways.

If you have 4 quarters, that's the whole dollar, so that's 1 more way.

So that's 11+8+6+3+1 = 29 ways. 

Edwin