Question

The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.​

Answer 1

x = price of adult tickets = $7

y = price of students tickets = $6

Explanation:

Let

x = price of adult tickets

y = price of students tickets

7x + 7y = 91 (1)

14x + 12y = 170 (2)

Multiply (1) by 2 to

14x + 14y = 182 (3)

14x + 12y = 170 (2)

Subtract (2) from (3) to eliminate x

14y - 12y = 182 - 170

2y = 12

y = 12/2

y = 6

Substitute y = 6 into (1)

7x + 7y = 91 (1)

7x + 7(6) = 91

7x + 42 = 91

7x = 91 - 42

7x = 49

x = 49/7

x = 7

x = price of adult tickets = $7

y = price of students tickets = $6