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 $3 comma 050 every night to cover all expenses. Let d represent the number of adult tickets sold at $8.50. Let s represent the number of student tickets sold at $5.50 each. 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 $3 comma 050? At one performance there were three times as many student tickets sold as adult tickets. If there were 400 tickets sold at that performance, how much below the goal of $3 comma 050 did ticket sales fall?
The members sold
200 adult tickets and
300 student tickets.