tacia 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
subtraction and multiplication
addition and multiplication
addition and division
subtraction and division
subtraction and division
The operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
Adding 19 to both sides of the equation gives us:
36x - 19 + 19 = 53 + 19
This simplifies to:
36x = 72
Finally, dividing both sides of the equation by 36 gives us the answer:
x = 2
Therefore, Tacia bought 2 tickets.
The operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
First, let's break down the equation:
36x - 19 = 53
To solve for x, we need to isolate it on one side of the equation. We can do this by getting rid of the -19 on the left side of the equation.
To do this, we perform the subtraction operation:
36x - 19 - (-19) = 53 - (-19)
Simplifying it gives us:
36x - 19 + 19 = 53 + 19
This further simplifies to:
36x = 72
Now, we just have x multiplied by 36 on one side of the equation. To find the value of x, we need to divide both sides of the equation by 36.
Dividing both sides by 36 gives us:
36x/36 = 72/36
Simplifying it further:
x = 2
So, Tacia bought 2 concert tickets.