Question

The school that Julia goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 1 senior-citizen ticket and 9 student tickets for a total of $62, The school took in $132 on the second day by selling 12 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

Answer 1

x + 9y = 62

12x + 6y = 132

x = 62 - 9y

12x = 744 - 108y

744 - 102y = 132

612 = 102y

612 / 102 = y

y = 6

x + 54 = 62

x = 8

senior citizen tickets = $8

student tickets = $6