The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling​ tickets, the members would like to raise ​$
3,300 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 ​$
4.50 each. If all
600 seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$
3,300​? At one performance there were
two times as many student tickets sold as adult tickets. If there were
360 tickets sold at that​ performance, how much below the goal of ​$
3,300 did ticket sales​ fall?