To solve the equation \( 36x - 19 = 53 \) to find out how many tickets Stacia bought, we first need to identify the operations involved:
- Addition: To isolate the term involving \( x \), we would first add \( 19 \) to both sides of the equation.
- Division: After obtaining \( 36x = 72 \) (by adding \( 19 \) to both sides), we would then divide both sides by \( 36 \) to solve for \( x \).
Thus, the operations needed to solve this problem using the equation \( 36x - 19 = 53 \) are addition and division.
So the correct response is:
addition and division