Answer:
The number of adult tickets sold is 168.
Step-by-step explanation:
* Here's the solution approach:
- Adult ticket price: $10.50
- Student ticket price: $3.75
- Total revenue from opening night tickets: $2071.50
- Equation representing total revenue:
10.50 a + 3.75 b = 2071.50, where a = number of adult tickets and b = number of student tickets.
- Number of students who attended: 82
* Solving the problem:
Since the number of students is 82, b = 82
Substitute into the equation:
10.50 a + 3.75 × 82 = 2071.50
Calculate 3.75 × 82 = 307.5
The equation becomes:
10.50 a + 307.5 = 2071.50
Subtract 307.5 from both sides:
10.50 a = 1764
Divide both sides by 10.50:
a = 1764 / 10.50 = 168
Therefore, 168 adult tickets were sold.