Adult tickets to the fall play cost $8

Question

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?

The drama class sold blank adult tickets.

The solution is

Answer 1

Let's denote the number of student tickets sold as \( s \). Since the drama class sold 30 more adult tickets than student tickets, we can denote the number of adult tickets sold as \( s + 30 \).

The cost of adult tickets is $8 and the cost of student tickets is $4. Therefore, we can express the total revenue from ticket sales as:

\[ 8(s + 30) + 4s = 840 \]

Now, let's simplify and solve this equation:

1. Distribute the \( 8 \):

\[ 8s + 240 + 4s = 840 \]

2. Combine like terms:

\[ 12s + 240 = 840 \]

3. Subtract 240 from both sides:

\[ 12s = 600 \]

4. Divide by 12:

\[ s = 50 \]

Now, recall that the number of adult tickets sold is \( s + 30 \):

\[ s + 30 = 50 + 30 = 80 \]

Thus, the drama class sold 80 adult tickets.