How many tickets of each type were sold?

With a student body card, tickets to the football game cost $1.00. Without a card, the price was $6. At the new computerized gates, each fan deposited his or her ticket to open the gate. As each gate reported a running total was kept on a central computer. The computer was programmed to count the number of people who entered and keep a running total for the cost of the tickets. For the season opener, the total number of tickets was 12,438 and the total revenue was $36,798. The University is pressuring the athletic director to raise the price of tickets. The athletic director needs to know how many tickets of each type were sold.