It's easy to see that there is no possible way to get 83 cents with 7 coins using only nickels and pennies. Even if you used 7 nickels you'd only have 35 cents!!! In fact the only way to have 83 cents at all with 7 coins is the standard way for a clerk to to give a customer 83 cents in change, which is 3 quarters, 1 nickel, and 3 pennies. That is 7 coins. But there is obviously no way possible to have 83 cents with only 7 coins using nickels and pennies only. We must have 3 quarters! Edwin