Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

Question

The drama class sold blank adult tickets.

The solution is

Answer 1

Let x be the number of student tickets sold.

Then, the number of adult tickets sold is x + 30.

The total revenue from ticket sales is given by:
4x (revenue from student tickets) + 8(x + 30) (revenue from adult tickets) = 840

Simplifying the equation:
4x + 8x + 240 = 840
12x + 240 = 840
12x = 600
x = 50

Thus, the number of student tickets sold is 50.

The number of adult tickets sold is:
50 + 30 = 80

Therefore, the drama class sold 80 adult tickets.