Final answer:
To find the number of student tickets sold, a system of equations was created and solved resulting in the sale of 56 student tickets for the Spooky and Kooky Show.
Step-by-step explanation:
The student's question involves determining the number of student tickets sold when given the total count of tickets and the total sales revenue, distinguishing between student and general admission ticket prices. To solve this, we set up a system of equations where the number of student tickets is represented by s and the number of general admission tickets is represented by g. The first equation represents the total number of tickets sold, s + g = 80, and the second equation represents the total revenue, 7s + 10g = 632. Solving this system allows us to find the values of s and g.
Step 1: Write down the system of equations based on the information:
- s + g = 80 (Total number of tickets)
- 7s + 10g = 632 (Total revenue from tickets)
Step 2: Solve for one variable in terms of the other using the first equation: g = 80 - s.
Step 3: Substitute the expression for g into the second equation:
7s + 10(80 - s) = 632, which simplifies to 7s + 800 - 10s = 632.
Step 4: Solve for s:
- -3s + 800 = 632
- -3s = 632 - 800
- -3s = -168
- s = 56
Therefore, 56 student tickets were sold for the Spooky and Kooky Show.