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A theater offered pre-sale tickets two days before a showing. On the first day, 12 adult and 5 children's tickets were purchased for $114.50. On the second day, 24 adult and 8 children's tickets were purchased for $218. Find the price of an adult ticket and a children's ticket.
A) Adult ticket = $8.75; Child ticket = $6.90
B) Adult ticket = $6.49; Child ticket = $4.10
C) Adult ticket = $7.25; Child ticket = $5.50
D) Adult ticket = $10.50; Child ticket = $7.50

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