Question

A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular seats cost $34 each. All of the theater's 75 preferred seats were sold out that evening. How many tickets were sold?

Answer 1

Preferred tickets =X. 75 tickets
Regular tickets=y. Y-75 regular ticket are all tickets y minus the preferred 75

45x+34y=8917
45(75)+34(y-75)=8917
3375+34y-2550=8917
34y+825=8917
-825. -825
34y=. 8092
Divide by 34
Y= 238
238 regular and 75 preferred
Add 75+ 238=313 tickets

Answer 2

1530. Multiply 45x34 and you get the answer!!