Final answer:
Using a system of linear equations, it was determined that the number of adult tickets sold is 393, but this is not an option provided in the multiple-choice question, which may indicate errors in the question or answer options.
Step-by-step explanation:
The student is tasked with solving a problem that involves determining the number of adults who attended a concert based on the total number of attendees and the revenue collected from ticket sales, where adult tickets and children's tickets have different prices. This problem can be solved using a system of linear equations.
Let A be the number of adult tickets sold, and C be the number of children's tickets sold. We are given the following equations:
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- A + C = 482 (total number of tickets sold)
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- 12A + 6C = 5250 (total revenue from ticket sales)
By multiplying the first equation by 6, we get:
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- 6A + 6C = 2892
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- 12A + 6C = 5250
Subtracting the first new equation from the second:
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- 12A + 6C - (6A + 6C) = 5250 - 2892
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- 6A = 2358
Dividing both sides by 6, we find A = 393. So, the number of adult tickets sold is 393.
However, this answer is not in the multiple-choice options provided, indicating potential calculation or transcription errors in the question or options given.