9. Please check my answer and provide a detailed solution.

Samantha 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 $117 and equipment for $91 per day. If they hire an independent umpire, they would need to pay $170 for the day. They would arrange to have caps made for each player at a cost of $6 each. If Samantha can get 63 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 $ 18 (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)