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 division addition and division addition and multiplication addition and multiplication subtraction and multiplication
The operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
The equation that represents the given situation is 36x - 19 = 53, where x represents the number of tickets Stacia bought.
To solve this equation, we need to isolate the variable x. To do that, we'll perform a series of operations.
Step 1: Add 19 to both sides of the equation to get rid of the negative 19:
36x - 19 + 19 = 53 + 19,
which simplifies to:
36x = 72.
Step 2: Now, divide both sides of the equation by 36 to solve for x:
36x / 36 = 72 / 36,
which simplifies to:
x = 2.
Therefore, Stacia bought 2 tickets.
The operations used to solve this equation were subtraction (to eliminate the negative 19) and division (to solve for x).