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 $2,550
every night to cover all expenses. Let d represent the number of adult tickets sold at $7.50. Lets
represent the number of student tickets sold at $4.50 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
$2,550? 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 $2,550 did ticket sales
fall?