Jay and a group of friends have set up a weekend baseball tournament. The tournament will be held on Saturday and Sunday. They can rent a baseball field for a daily charge of $90 and equipment for $64 per day. If they hire an independent umpire, they would need to pay $137 for the day. They would arrange to have caps made for each player at a cost of $7 each. If Jay can get 97 people to participate in the tournament, what price should be charged for admission to recover costs?
The price for admission to the tournament should be $_
(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)