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.
To solve this problem using the equation "36x - 19 = 53," the following operations are needed:
1. Multiply the number of tickets (x) by the price of each ticket ($36): 36x.
2. Subtract the discount amount ($19) from the total cost of the tickets: 36x - 19.
3. Set the result equal to the total amount paid for the tickets ($53): 36x - 19 = 53.
To solve this problem using the equation 36x - 19 = 53, you need to follow these steps:
1. Let x represent the number of tickets that Stacia bought.
2. The price of each ticket was $36, so the cost of x tickets would be 36x dollars.
3. Stacia received a $19 discount, so the total cost of the tickets after the discount would be 36x - 19 dollars.
4. Finally, we are told that Stacia paid a total of $53 for the tickets. Therefore, we can set up the equation 36x - 19 = 53.
To find the value of x, you need to isolate it on one side of the equation. Here are the steps to solve the equation:
1. Start with the equation 36x - 19 = 53.
2. Add 19 to both sides of the equation to get rid of the -19, yielding 36x = 72.
3. Divide both sides of the equation by 36 to solve for x, resulting in x = 2.
Therefore, Stacia bought 2 tickets.
To solve this problem, we can set up an equation based on the given information. Let's use the variable x to represent the number of tickets Stacia bought.
According to the problem, the tickets were originally selling for $36 each. So the total cost of the tickets without any discount would be 36x.
However, Stacia got a discount of $19, so she paid a total of $53 for the tickets. This can be represented as 36x - 19 = 53.
To solve this equation and find the value of x, we need to isolate the variable.
First, we can start by adding 19 to both sides of the equation:
36x - 19 + 19 = 53 + 19
This simplifies to:
36x = 72
Next, we need to isolate x by getting rid of the coefficient 36. We can do this by dividing both sides of the equation by 36:
36x/36 = 72/36
This simplifies to:
x = 2
So, Stacia bought 2 tickets.