Question

SYSTEMS OF EQUATIONS WORD PROBLEM: 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 ​$3,350 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 ​$3,350​? 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 ​$3,350 did ticket sales​ fall?

Answer 1

first question: Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

Second question: The goal of $3050 fell by $710