Question

adult tickets for a concert cost $10.00, and student tickets cost $12.00. if twice as many student tickets as adult tickets were sold, and the total revenue from ticket sales was $24,400, find the number of adult and student tickets sold. adult tickets student tickets enter an exact number.

Explanation:

Step1: Define variables

Let $x$ = number of adult tickets sold. Then $2x$ = number of student tickets sold.

Step2: Set up revenue equation

Total revenue = (adult ticket price × adult tickets) + (student ticket price × student tickets)
$$16x + 12(2x) = 24400$$

Step3: Simplify the equation

$$16x + 24x = 24400$$
$$40x = 24400$$

Step4: Solve for adult tickets

$$x = \frac{24400}{40} = 610$$

Step5: Find student tickets

Student tickets = $2x = 2×610 = 1220$

Answer:

adult tickets: 610
student tickets: 1220