Question

The drama club sold a total of 360 adult and student tickets for the school play. Charging $5 for each adult ticket and $3 for each student ticket, they collected $1,360 from ticket sales. How many student tickets did the drama club sell?

Answer 1

The drama club sold 220 student tickets for the school play.

Step-by-step explanation:

To find the number of student tickets sold by the drama club, we need to set up a system of equations.

Let's say x represents the number of adult tickets and y represents the number of student tickets.

From the problem, we know that the total number of tickets sold is 360:

x + y = 360

We also know that the total amount collected from ticket sales is $1,360:

5x + 3y = 1360

To solve this system of equations, we can use substitution or elimination. Let's use the elimination method:

Multiply the first equation by 3:

3x + 3y = 1080

Subtract this equation from the second equation:

(5x + 3y) - (3x + 3y) = 1360 - 1080

2x = 280

Divide both sides by 2:

x = 140

Substitute the value of x back into the first equation:

140 + y = 360

Subtract 140 from both sides:

y = 220

Therefore, the drama club sold 220 student tickets.