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

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.