A movie theater has a total of 400 seats. For a special Saturday night preview, they reserve 30 seats to give away to their VIP guests at no charge. If x represents the number of tickets they can sell for the preview, then x can be found by solving the equation x + 30 = 400. Tickets for the preview are $7.50 each.
Solve the equation for x and find the maximum amount of money they can make from ticket sales.
A) 370 tickets, $2,775.00
B) 390 tickets, $2,925.00
C) 350 tickets, $2,625.00
D) 330 tickets, $2,475.00
E) 330 tickets, $2,550.00

Question

Quizplus · Accepted Answer

Solving the equation x + 30 = 400 gives x = 370. The maximum amount of money from ticket sales is 370 tickets * $7.50 each = $2,775.00.

A Movie Theater Has a Total of 400 Seats