Question

A theater is selling tickets for a musical. One attendee purchased 2 adult tickets and 5 student tickets, and the total cost was $64. Another attendee purchased 3 adult tickets and 4 student tickets, and the total cost was $68. Write a system of equations to find the price of an adult ticket and a student ticket. Let x be the price of an adult ticket and y be the price of a student ticket.

Answer 1

Price of an adult ticket: 12$

Price of a student ticket: 8$

Explanation:

Let x be the price of an adult ticket, and y be the price of a student ticket.

We have the equation:

2x + 5y = 64

3x + 4y = 68

=> x - y = 4

2x + 5y = 64

=> x = 4+y

2*(4+y) + 5y = 64

=> x = 4+y

8 + 2y + 5y = 64

=> x = 4 + y

7y = 56

=> x = 4 + y

y = 8

=> x = 12

y = 8