Compare Solution Methods for Two-Step Equations Quick Check

3 of 53 of 5 Items
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

subtraction and multiplication
subtraction and multiplication

addition and division

1 answer

To solve the equation \(36x - 19 = 53\) for the number of tickets \(x\) that Stacia bought, we need to identify the operations involved. Let's break down the equation step by step:

  1. Addition: To isolate the term containing \(x\), we first need to get rid of the \(-19\). We do this by adding \(19\) to both sides of the equation: \[ 36x - 19 + 19 = 53 + 19 \implies 36x = 72 \]

  2. Division: Now, we need to solve for \(x\), which requires us to divide by \(36\): \[ x = \frac{72}{36} \implies x = 2 \]

Thus, the operations needed to solve the problem are addition and division.

The correct response is:

  • addition and division.
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