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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