Hi

540 tickets sold 

Let x and (540-x)represent the number of adult and student tickets respectively

Question states***

 6.50x + 4(540-x) = 2935

Solving for x

     2.50x = 2935 - 2160

         x = 775/2.5

         x = 310, the number of adult ickets.  230 student tickets (540-310)

CHECKING our Answer***

 6.50*310 + 4*230 = $2935 

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