To determine how many tickets Stacia bought, we need to analyze the equation she used:
\[ 36x - 19 = 53 \]
In this equation:
- \( 36x \) represents the total price of the tickets before the discount, where \( x \) is the number of tickets bought.
- \( -19 \) represents the discount.
- \( = 53 \) represents the total amount she ended up paying.
The operations involved in solving this equation to find \( x \) would be:
- Addition to eliminate the discount: \[ 36x - 19 + 19 = 53 + 19 \]
- Division to isolate \( x \): \[ x = \frac{72}{36} \]
Therefore, the operations needed to solve the problem are addition and division.
The correct response is: addition and division.