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
36
𝑥

−
19
=
53
.(1 point)
Responses

subtraction and division
subtraction and division

addition and division
addition and division

addition and multiplication
addition and multiplication

subtraction and multiplication

Answer 1

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

1. **Add 19 to both sides** to isolate the term with \(x\):
\[
36x - 19 + 19 = 53 + 19
\]
This simplifies to:
\[
36x = 72
\]

2. **Divide both sides by 36** to solve for \(x\):
\[
x = \frac{72}{36}
\]
This simplifies to:
\[
x = 2
\]

Stacia bought 2 tickets.

The operations needed to solve this problem are **addition** (to add 19 to both sides) and **division** (to divide by 36 to solve for \(x\)).

So, the correct response is:

**addition and division**.