There are 59 ways because you can choose
any number of dimes to have from 1 to 59, and the
rest you can have in nickels.

One way is 40 dimes and 39 nickels.
Another way is 1 dime and 117 nickels.
A third way is 59 dimes and 1 nickel.
A fourth way is 19 dimes and 81 nickels. 

There are 55 more ways.

Edwin