How many ways can you make change for a 50 cent coin?

Question

How many ways can you make change for a 50 cent coin using nickels and dimes?

Answer 1

1 dime = 2 nickels

5 dimes = 50 cents that is one way

every dime you replace has to be replaced with two nickels

4 dimes 2 nickels that is two ways

3 dimes 4 nickels that is three ways

2 dimes 6 nickels that is four ways

1 dime 8 nickels that is five ways

10 nickels that is six ways

All together there are six ways