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.
Options:
Addition and multiplication
Addition and division
Subtraction and division
Subtraction and multiplication
The correct option is Subtraction and division.
In the equation 36x - 19 = 53, the operations used are subtraction (36x - 19) and division.
First, subtract 19 from both sides of the equation to isolate the term with the variable:
36x - 19 - 19 = 53 - 19
36x - 38 = 34
Next, divide both sides of the equation by 36 to solve for x:
(36x - 38) / 36 = 34 / 36
x = 34 / 36
Therefore, to find out how many tickets Stacia bought, you would divide 34 by 36.