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 se nior 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?
1 answer:
Let: x = cost of senior citizen ticket y = cost of student ticket 4x + 5y = 102 7x + 5y = 126 4x + 5y = 102 4x = 102 - 5y x = (102 - 5y)/4 x = 102/4 - 5y/4 7x + 5y = 126 7(102/4 - 5y/4) + 5y = 126 (714/4 - 35y/4) + 5y = 126 -35y/4 + 5y = 126 - 714/4 note: -35y/4 = -8.75y 714/4 = 178.5 -8.75y + 5y = 126 - 178.5 -3.75y = -52.5 y = -52.5/-3.75 y = 14 x = 102/4 - 5y/4 x = 102/4 - 5(14)/4 x = 8 x = cost of senior citizen ticket = $8/ea y = cost of student ticket = $14/ea
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Step-by-step explanation:
1 hour = 60 minutes
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