Find The Price Of A Senior Citizen Ticket And The Price Of A Child Ticket

Rob’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 14 adult tickets and 9 student tickets for a total of $212. The school took in $110 on the second day by selling 7 adult tickets and 5 student tickets. What is the price each of one adult ticket and one student ticket?

Solution


7A +5S =110 multiply by 2 to get

14A+10S =220 subtract

14A+9S = 212 to get

S =$8 for a student ticket

7A=110-5S = 110-40 = 70

A = 70/7 = $10 for an adult ticket