Advanced-purchase tickets to an art exhibition cost $10, while tickets purchased at the door cost $13. If a total of 170 tickets were sold and $2,045 was collected, how many advanced-purchase tickets were sold?
A) 55 tickets
B) 75 tickets
C) 70 tickets
D) 60 tickets
E) 45 tickets

Question

Quizplus · Accepted Answer

Let x be the number of advanced-purchase tickets sold. Then, the number of tickets purchased at the door is 170 - x. The total amount collected is 10x + 13(170 - x) = 2,045. Solving for x gives x = 75.

Advanced-Purchase Tickets to an Art Exhibition Cost $10, While Tickets