Question 92196
Let x be the number of student tickets sold.

Let y be the number of adult tickets sold.

Then the equation is y = 2x ----------------(1)

Cost of y adult tickets at $3 each = 3y

Cost of students ticket at $2 each = 2x

Total receipt = $824

Then 2x + 3y = 824 ------------------(2)

Substituting the value for y from (1) in (2),

 2x + 3(2x) = 824

==> 2x + 6x = 824

==> 8x = 824

==> x = 824/8
      = 103

Thus no: of students ticket sold = 103

No: of adult tickets sold = 2*103

                          = 206
Good Luck!!!