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)

subtraction and division

O addition and division

O addition and multiplication

O subtraction and multiplication

1 answer

The correct answer is addition and multiplication.

To solve the problem using the equation, let's break it down:

Let x be the number of tickets Stacia bought.

The original price of each ticket is $36. So the total cost of the tickets without the discount is 36x.

She got a $19 discount, which means she paid 36x - 19.

The total amount she paid is $53, so we have the equation: 36x - 19 = 53.

To solve this equation, we need to use addition and multiplication operations:

First, we add 19 to both sides of the equation to isolate the variable:
36x - 19 + 19 = 53 + 19

This simplifies to:
36x = 72

Then, we divide both sides of the equation by 36 to solve for x:
36x/36 = 72/36
x = 2

Therefore, Stacia bought 2 concert tickets.