The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 people. By selling tickets, the members would like to raise 2,850$ every night to cover all expenses. Let d represent the number of adult tickets sold at 7.50$. Let s represent the number of student tickets sold at $4.50each. If all 500 seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $2,850? At one performance there were 350 times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of 2,850$ did ticket sales fall? The members sold
nothing adult tickets and
nothing student tickets.