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 identify the operations involved.

  1. Addition: To isolate the term involving \(x\), we first need to get rid of the constant term on the left side. We do this by adding 19 to both sides of the equation: \[ 36x - 19 + 19 = 53 + 19 \] This results in: \[ 36x = 72 \]

  2. Division: Next, we need to solve for \(x\) (the number of tickets), so we divide both sides by 36: \[ x = \frac{72}{36} \] This results in: \[ x = 2 \]

Thus, the operations needed are addition and division. Therefore, the correct response is: addition and division.