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
.(1 point)
Responses

subtraction and division
subtraction and division

subtraction and multiplication
subtraction and multiplication

addition and division
addition and division

addition and multiplication
addition and multiplication

Answer 1

To solve the problem using the equation \(36x - 19 = 53\), we can identify the operations needed:

1. The term \(36x\) represents the total cost of the tickets.
2. The $19 represents the discount that is subtracted from the total ticket price.
3. The equation states that after applying the discount, the amount paid is $53.

To isolate \(x\), the operations involved are:

- First, you add 19 to both sides to eliminate the discount:
\[
36x = 53 + 19
\]

- Then, you divide both sides by 36 to solve for \(x\):
\[
x = \frac{72}{36}
\]

Thus, the operations needed to solve this problem are **addition** (to add the discount back) and **division** (to find the number of tickets).

So, the correct answer is:

**addition and division**