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

subtraction and multiplication
subtraction and multiplication

subtraction and division
subtraction and division

addition and multiplication

Answer 1

To solve the equation \( 36x - 19 = 53 \), we need to isolate \( x \). Here are the operations needed:

1. Addition: We first add 19 to both sides of the equation to eliminate the -19 on the left side: \[ 36x - 19 + 19 = 53 + 19 \implies 36x = 72 \]

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

Thus, Stacia bought 2 tickets.

Given the operations used, the answer is addition and division.