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.

Both 6

Step-by-step 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 :-)

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