Theater Ticket Sales Problem

In a theater, the ticket prices for a weekend show vary based on seating sections. The front section tickets cost $15 each, the middle section tickets cost $10 each, and the back section tickets cost $5 each. During a particular weekend, the theater sold a total of 240 tickets, collecting $2,550 in revenue. If the number of middle section tickets sold is twice the number of back section tickets sold, how many front section tickets were sold?