There are no ways using only the coins presently in circulation.
So we have to use half dollars. There are 9 ways to have $5 in
100 coins, with no nickels.
1. 1 half dollar, 0 quarters, 39 dimes, and 60 pennies.
2. 1 half dollar, 3 quarters, 31 dimes, and 65 pennies.
3. 1 half dollar, 6 quarters, 23 dimes, and 70 pennies.
4. 1 half dollar, 9 quarters, 15 dimes, and 75 pennies.
5. 1 half dollar, 12 quarters, 7 dimes, and 80 pennies.
6. 4 half dollars, 1 quarter, 20 dimes, and 75 pennies.
7. 4 half dollars, 4 quarters, 12 dimes, and 80 pennies.
8. 4 half dollars, 7 quarters, 4 dimes, and 85 pennies.
9. 7 half dollars, 2 quarters, 1 dime, and 90 pennies.
Edwin