Question

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

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 we can analyze the operations needed:

1. The equation starts as \(36x - 19 = 53\).
2. First, we will add 19 to both sides to get rid of the -19:
\[
36x - 19 + 19 = 53 + 19
\]
This simplifies to:
\[
36x = 72
\]
3. Next, we will divide both sides by 36 to solve for \(x\):
\[
x = \frac{72}{36}
\]
This simplifies to:
\[
x = 2
\]

Based on these steps, the operations used to solve the equation are **addition** (to eliminate the -19) and **division** (to solve for \(x\)).

Therefore, the correct response is:
**addition and division**.