To solve this problem using the equation 36x - 19 = 53, where x represents the number of tickets Stacia bought, you would need to use the following operations:
1. Subtract 19 from both sides of the equation: 36x - 19 - 19 = 53 - 19
This is done to isolate the term with the variable x on one side of the equation.
2. Simplify the equation: 36x - 38 = 34
By subtracting 19 from both sides, the equation becomes simpler.
3. Add 38 to both sides of the equation: 36x - 38 + 38 = 34 + 38
This is done to move the constant term to the right side of the equation.
4. Simplify the equation: 36x = 72
Adding 38 to both sides of the equation gives you a new constant term on the right side.
5. Divide both sides of the equation by 36: 36x/36 = 72/36
This is done to solve for x by isolating the variable.
6. Simplify the equation: x = 2
By dividing both sides of the equation by 36, you solve for x and determine that Stacia bought 2 tickets.
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 answer