Each player will pay $5 to attend the banquet for their soccer league, and the league will pay for the rest. The total cost for the banquet is $960. If there are 60 players in the league, find the cost per player

The total cost for the banquet is $960, and each player will pay $5. Let x be the cost that the league will pay.

The total cost the players will pay is $5 x 60 = $<<5*60=300>>300
The total cost that the league will pay is $960 - $300 = $<<960-300=660>>660
The cost per player will be $660 / 60 = $<<660/60=11>>11. Answer: \boxed{11}.