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 division
addition and division

subtraction and division
subtraction and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication

1 answer

To determine how many tickets Stacia bought, we need to analyze the equation she used:

\[ 36x - 19 = 53 \]

In this equation:

  • \( 36x \) represents the total price of the tickets before the discount, where \( x \) is the number of tickets bought.
  • \( -19 \) represents the discount.
  • \( = 53 \) represents the total amount she ended up paying.

The operations involved in solving this equation to find \( x \) would be:

  1. Addition to eliminate the discount: \[ 36x - 19 + 19 = 53 + 19 \]
  2. Division to isolate \( x \): \[ x = \frac{72}{36} \]

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

The correct response is: addition and division.