Question 164020
Let:
  number of students = x
  number of non-students = y

the students got 50% discount, so the price for the students will be: 
 (100 - 50)/100 * $12 = $6

so the linear equation system is:
  x + y = 1500
  6x + 12y = 16200

use the elimination process, multiply the first equation by 6, then we get:
  6x + 6y  =  9000
  6x + 12y = 16200  -
------------------- 
      -6y  = -7200
        y  = 7200/6 = 1200

substitute the value of y to the first equation:
  x + y = 1500
<=> x = 1500 - 1200 = 300

so there are 300 students attended the show.