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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

subtraction and multiplication
subtraction and multiplication

addition and division

1 answer

To solve the equation \(36x - 19 = 53\), we can follow these steps:

  1. Addition: First, add 19 to both sides of the equation to isolate the term with \(x\): \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]

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

Thus, Stacia bought 2 tickets.

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.