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

price of an adult ticket = a = $7

price of a student ticket = s = $6

Explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6