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?

Question

Mathematics

Gregory Gonzalez

10 April, 00:47

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?

+3

Answers (2)

Know the Answer?

Douglas Duarte · Answer 1

1530. Multiply 45x34 and you get the answer!

Lilliana · Answer 2

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