Question 1115646
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                It is a typical problem to solve using a single unknown.



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Let x = # of $12 tickets.

Then the number of $8 tickets is 2x, according to the condition.

Then the number of $10 tickets is  (360 - x - 2x) = (360-3x).


Now your "money" equation is


8*(2x) + 10*(360-3x) + 12*x = 3436,   or


16x + 3600 - 30x + 12x = 3436

-2x = 3436 - 3600 = - 164  ====>  x = 82.


<U>Answer</U>.  82 $12 tickets;  2*82 = 164 $8 tickets;  and  (360-3*82) = 114 $10 tickets.


<U>Check</U>.   12*82 + 8*164 + 10*114 = 3436 dollars.    ! Correct !
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