You can
put this solution on YOUR website!
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