Challenge 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 $2,050 every night to cover all expenses.
Let d represent the number of adult tickets sold at $6.50. Let s represent the number of student tickets sold at $3.50 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 $2,050? At one performance there were three times as many student tickets sold as adult tickets. If there were
480 tickets sold at that performance, how much below the goal of $2,050 did ticket sales fall?