Tickets for a benefit dinner were priced at $10 for students and $15 for nonstudents. There were 1,350 tickets sold for a total of $17,795. How many student tickets were sold?
A) 521
B) 481
C) 491
D) 501
E) 541

Question

Quizplus · Accepted Answer

Let x be the number of student tickets sold and y be the number of nonstudent tickets sold. We can set up two equations based on the information given:
x + y = 1350      (equation 1)
10x + 15y = 17795  (equation 2)
Solving for y in equation 1, we get:
y = 1350 - x
Substituting this into equation 2 and solving for x, we get:
10x + 15(1350 - x) = 17795
10x + 20250 - 15x = 17795
-5x = -2455
x = 491
Therefore, 491 student tickets were sold.

Tickets for a Benefit Dinner Were Priced at $10 for Students