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

.(1 point)
Responses

addition and division
addition and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication
addition and multiplication

subtraction and division

Answer 1

To solve the equation \( 36x - 19 = 53 \) where \( x \) is the number of tickets Stacia bought, we can follow these steps:

1. Add 19 to both sides of the equation to eliminate the discount: \[ 36x - 19 + 19 = 53 + 19 \] This simplifies to: \[ 36x = 72 \]

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

Based on the steps above, the operations needed to solve the problem are addition (to eliminate the discount) and division (to find the number of tickets).

Therefore, the correct response is:

subtraction and division.