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
addition and multiplication
addition and multiplication
addition and division
addition and division
subtraction and multiplication
The correct answer is "addition and division".
To solve the equation 36x - 19 = 53, we need to first subtract 19 from both sides of the equation to isolate the term with "x".
So, 36x - 19 - 19 = 53 - 19
This simplifies to 36x - 38 = 34.
Next, we need to add 38 to both sides of the equation to isolate the term with "x".
So, 36x - 38 + 38 = 34 + 38
This simplifies to 36x = 72.
Finally, we can divide both sides of the equation by 36 to solve for "x".
So, 36x / 36 = 72 / 36
This simplifies to x = 2.
Therefore, Stacia bought 2 concert tickets.
The equation that can be used to solve this problem is 36x - 19 = 53. In this equation, x represents the number of tickets that Stacia bought.
To solve this equation, you need to isolate the variable x.
First, add 19 to both sides of the equation to eliminate the -19 on the left side:
36x - 19 + 19 = 53 + 19
This simplifies to: 36x = 72
Next, divide both sides of the equation by 36 to solve for x:
36x/36 = 72/36
This simplifies to: x = 2
Therefore, Stacia bought 2 tickets.
The operations needed to solve this equation are subtraction (to eliminate the -19) and division (to solve for x).