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Stacia wanted concert tickets that were selling for $36 each, and then she got a $19 discount. She paid a total of $53 for the tickets. How many tickets did she buy? Identify the operations needed to solve this problem using the equation 36x −19=53

.(1 point)
Responses

subtraction and division
subtraction and division

addition and division
addition and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication

1 answer

To solve the equation \(36x - 19 = 53\), you will first need to isolate the term involving \(x\).

Here is a step-by-step breakdown:

  1. Add 19 to both sides of the equation to eliminate the discount: \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]

  2. Divide both sides by 36 to solve for \(x\): \[ x = \frac{72}{36} \] This simplifies to: \[ x = 2 \]

In the process of solving this equation, you used addition (to eliminate -19) and division (to isolate \(x\)).

Therefore, the correct response is:

addition and division.