The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of senior citizen ticket and one student ticket?

Let:x = cost of senior citizen tickety = cost of student ticket4x + 5y = 1027x + 5y = 1264x + 5y = 1024x = 102 - 5yx = (102 - 5y)/4x = 102/4 - 5y/47x + 5y = 1267(102/4 - 5y/4) + 5y = 126(714/4 - 35y/4) + 5y = 126-35y/4 + 5y = 126 - 714/4note:-35y/4 = -8.75y714/4 = 178.5-8.75y + 5y = 126 - 178.5-3.75y = -52.5y = -52.5/-3.75y = 14x = 102/4 - 5y/4x = 102/4 - 5(14)/4x = 8x = cost of senior citizen ticket = $8/eay = cost of student ticket = $14/ea

senior tickets: 8 bucksstudent tickets: 14 bucksmakes sense cuz seniors should be charged less