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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

addition and multiplication
addition and multiplication

subtraction and division
subtraction and division

addition and division
addition and division

subtraction and multiplication

1 answer

To solve the equation \(36x - 19 = 53\), we need to isolate \(x\), which represents the number of tickets Stacia bought.

Here’s how we can analyze the operations needed:

  1. The equation starts as \(36x - 19 = 53\).
  2. First, we will add 19 to both sides to get rid of the -19: \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]
  3. Next, we will divide both sides by 36 to solve for \(x\): \[ x = \frac{72}{36} \] This simplifies to: \[ x = 2 \]

Based on these steps, the operations used to solve the equation are addition (to eliminate the -19) and division (to solve for \(x\)).

Therefore, the correct response is: addition and division.