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 36 - 19 = 53. (1 point)
responses
subtraction and division
addition and multiplication
subtraction and multiplication
addition and division
The correct response is "subtraction and division."
The correct answer is:
subtraction and division
To solve this problem, we can use subtraction and division. Let's break it down step by step.
Stacia wanted concert tickets that were selling for $36 each.
Let the number of tickets she bought be represented by "x".
So, the cost of x tickets at $36 each would be 36 * x or 36x.
Then, she got a $19 discount.
So, the total cost after the discount would be 36x - 19.
She paid a total of $53 for the tickets.
According to the information given, the total cost she paid was $53.
Therefore, we can set up the equation:
36x - 19 = 53
To solve this equation,
1. First, we isolate "x" by adding 19 to both sides of the equation:
36x - 19 + 19 = 53 + 19
36x = 72
2. Then, to find the value of "x", we divide both sides of the equation by 36:
36x/36 = 72/36
x = 2
So, Stacia bought 2 concert tickets.
In summary, the operations needed to solve this problem are subtraction (to calculate the total cost after the discount) and division (to find the number of tickets she bought).