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22-04-2024
Mathematics

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Write a system of equations to solve the problem. A local theatre sells out for their show. They sell all 500 tickets for a total purse of $8,010.00. The tickets were priced at $15 for students, $12 for adults. Let's represent the number of student tickets as 's' and the number of adult tickets as 'a'. The total number of tickets sold can be represented as s + a = 500. The total amount earned from student tickets can be represented as 15s and the total amount earned from adult tickets can be represented as 12a. The total amount earned from all tickets can be represented as 15s + 12a = 8010. Now we have a system of equations: s + a = 500 and 15s + 12a = 8010. Solve this system of equations to find the values of 's' and 'a'.

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