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

Carolyn

Mathematics

21 April, 08:13

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?

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Answers (2)

Know the Answer?

Ismael Kerr · 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

Keegan Nicholson · Answer 2

1530. Multiply 45x34 and you get the answer!