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Tickets for the senior play at Apopka High School cost $3 for children, $5 for students,...

Tickets for the senior play at Apopka High School cost $3 for children, $5 for students, and $8 for adults. There were 800 tickets sold and the total money brought in for ticket sales was $4750. The number of adult tickets sold was 50 more than two times the number of children tickets. Find the number of each type of ticket.

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