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Puzzle - Hint

As the auditor for my local theme park, I noticed that on Saturday there were 4296 children and 2143 adults and the takings were £98,718.

However, on Sunday, there were 5146 children and 2807 adults and the takings were £122,570.

How much were the adults tickets and children's tickets?

 [Ref: ZVHV] © Kevin Stone

Hint: This is quite a tricky puzzle and knowledge of algebra would certainly help.

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[Added July 2010]

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