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

addition and multiplication, subtraction and division, addition and division, subtraction and multiplication

Answer 1

To solve the problem, we start with the equation provided:

\[ 36x - 19 = 53 \]

Here, \( x \) represents the number of tickets Stacia bought.

To isolate \( x \), we can follow these steps:

1. Add 19 to both sides to get rid of the -19: \[ 36x - 19 + 19 = 53 + 19 \] \[ 36x = 72 \]

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

So, Stacia bought 2 tickets.

Now, looking at the operations used:

• First, we used addition to remove the -19.
• Then, we used division to solve for \( x \).

Thus, the correct operations used to solve this problem are addition and division.