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 division
addition and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication
addition and multiplication

subtraction and division

1 answer

To solve the equation \(36x - 19 = 53\) for \(x\), we need to isolate \(x\).

  1. First, we will add 19 to both sides of the equation to eliminate the -19: \[ 36x - 19 + 19 = 53 + 19 \] which simplifies to: \[ 36x = 72 \]

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

So, Stacia bought 2 tickets.

The operations needed to solve this problem are addition and division.

Therefore, the correct response is: addition and division.