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

A) add and sub
B) sub and multiply
C) sub and division
D) add and multiplication

1 answer

The correct operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.

In the equation, 36x represents the total cost of the tickets (36 dollars per ticket) and -19 represents the discount. The equation is set equal to 53, which represents the total amount Stacia paid for the tickets.

To solve the equation, we need to isolate the variable x, which represents the number of tickets bought by Stacia.

First, we subtract -19 from both sides of the equation:
36x - 19 + 19 = 53 + 19
36x = 72

Next, 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.

The operations used to solve the equation are subtraction and division.

The correct answer is C) sub and division.