Question

The school that Kathryn goes to is selling tickets to a

play. On the first day of ticket sales the school sold 4
adult tickets and 1 student ticket for a total of $58
dollars. The school took in $82 on the second day by
selling 6 adult tickets and 1 student ticket. Find the
price of an adult ticket and the price of a student
ticket.

Answer 1

Both 6

Explanation:

Hi there,

Adult tickets = 'x'

Child's ticket = 'y'

8x + 2y = 60......(1)

2x + 3y = 30......(2)

Multiply (1) by 3 and

(2) by 2

24x + 6y = 180....(1)

4x + 6y = 60......(2)

Subtract (2) from (1)

20x = 120

x = 6

Substitute x = 6 into (2)

2x + 3y = 30

2(6) + 3y = 30

12 + 3y = 30

3y = 30 - 12

3y = 18

y = 6

Adult's ticket = $6

Child's ticket = $6

Hope this helps :-)