Question

Alberto's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 14 student tickets for a total of $84. The school took in $105 on the second day by selling 12 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket?​

Answer 1

Adult: $7

Student $3

Explanation:

Hello!

We can use a system of linear equations to find the solution.

Let the price of adult tickets be x, and the price of student tickets are y.

The price of Day 1 can be represented by 6x + 14y = 84, and the second day can be represented by 12x + 7y = 105.

We can solve the system by graphing both equations on a coordinate plane and finding the point of intersection.

The point of intersection happens at x-coordinate 7 and y-coordinate 3. Recall that x is assigned to the price of adult tickets, and y is assigned to student tickets.

The price of adult tickets is $7, and the price of student tickets is $3.