Hi,

center sells 85 tickets 

 adult and  children tickets

Adult tickets are $5 each and children get in for $2.

center collects $275

 $5x + $2(85-x) = $275 ****

  5x + 170 - 2x = 275

     3x = 105

      x = 35 adult tickets  sold

CHECKING our answer*** (50 childen tickets sold :  85-35

$5*35 + $2* 50 = $175 + $100 = $275 

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