A 5000 seat theater has tickets at $27 and $40. How many tickets should be sold at each price for a sellout performance to gener ate a total revenue of $158,400
1 answer:
Let x = the number of tickets sold at $27 each y = the number of tickets sold at $40 each Because 5000 tickets were sold, therefore x + y = 5000 (1) Because the revenue generated was $158,400, therefore 27x + 40y = 158400 (2) From (1), y = 5000 - x (3) Substitute (3) into (2). 27x + 40(5000 - x) = 158400 -13x + 200000 = 158400 -13x = -41600 x = 3200 y = 5000 - x = 5000 - 3200 = 1800 Answer: 3200 tickets at $27 each, and 1800 tickets at $40 each
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