Question

At a local play, student tickets cost $5 each and adult tickets cost $11 each. If ticket sales were $3,000 for 300 tickets, how many students attended the play?

A. 50
B. 150
C. 250
D. 300

Answer 1

Total 50 students attended the play.

To find the number of students who attended the play, we need to set up a system of equations based on the given information.

Let's assume that the number of student tickets sold is 's' and the number of adult tickets sold is 'a'. We have the following equations:

5s + 11a = 3000 (1)

s + a = 300 (2)

To solve this system of equations, we can multiply equation (2) by 5 to eliminate 's' and then subtract equation (2) from equation (1). This gives us:

5s + 11a - 5s - 5a = 3000 - 1500

6a = 1500

a = 250

Substituting the value of 'a' back into equation (2), we can find the value of 's':

s + 250 = 300

s = 50

Therefore, 50 students attended the play.