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 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
To solve the equation 36x - 19 = 53, the following operations are needed:
1. Subtract 19 from both sides of the equation (to isolate the variable):
36x - 19 - 19 = 53 - 19
36x - 19 - 19 = 34
2. Simplify both sides of the equation:
36x - 38 = 34
3. Add 38 to both sides of the equation (to isolate the variable):
36x - 38 + 38 = 34 + 38
36x = 72
4. Divide both sides of the equation by 36 (to solve for x):
36x/36 = 72/36
x = 2
Therefore, Stacia bought 2 concert tickets.
To solve the problem, we can use the equation 36x - 19 = 53.
First, we can add 19 to both sides of the equation to isolate the variable:
36x - 19 + 19 = 53 + 19
36x = 72
Then, we can divide both sides of the equation by 36 to solve for x:
36x/36 = 72/36
x = 2
So, Stacia bought 2 tickets.
To solve the problem, we can use the equation 36x - 19 = 53, where x represents the number of tickets Stacia bought.
Step 1: Add 19 to both sides of the equation to isolate the variable on one side.
36x - 19 + 19 = 53 + 19
36x = 72
Step 2: Divide both sides of the equation by 36 to solve for x.
36x / 36 = 72 / 36
x = 2
Therefore, Stacia bought 2 tickets.
The operations needed to solve this problem are:
1. Subtract the discount from the original ticket price: $36 - $19 = $17.
2. Set up an equation to find the number of tickets: 17x = $53.
3. Solve the equation by isolating the variable and performing operations to find the value of x: x = 2.