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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

addition and multiplication
addition and multiplication

subtraction and multiplication

1 answer

To solve the equation \( 36x - 19 = 53 \), we need to identify the operations involved. Here’s how you would solve the equation step-by-step:

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

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

This means Stacia bought 2 tickets.

In terms of the operations used to solve the equation, we performed:

  • Addition (adding 19 to both sides)
  • Division (dividing both sides by 36)

Therefore, the correct response is:

addition and division