how many whole integral solutions does the equation

http://scienceforums.net/forum/latex...7edfde8a-1.gif

have if http://scienceforums.net/forum/latex...c0983268-1.gif

and c and k are constants.

This problem is analogous to the to this if a number of people have each some amount of money(may or may not be the same amount) , in how many ways can they pay a bill.

I cannot understand how to do this question please help.