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5 votes
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?

User Ohmusama
by
8.1k points

2 Answers

5 votes
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
User David J Eddy
by
8.1k points
4 votes
1530. Multiply 45x34 and you get the answer!!
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