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

Question

36
𝑥

−
19
=
53
.(1 point)
Responses

addition and division
addition and division

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

subtraction and division.

Answer 1

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

Here's how the operations break down:

1. Addition: We first add 19 to both sides of the equation to eliminate the subtraction: \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]

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

So the operations needed to solve the problem are addition and division.

Therefore, the correct response is:

addition and division.