Question

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
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**.