To solve this problem using the equation 36x − 19 = 53, we use the method of algebraic manipulation.
In this equation, 36x represents the cost of x tickets at $36 each, and 19 represents the discount Stacia received. The left side of the equation represents the total cost of the tickets after the discount, which is equal to $53.
To solve this equation, we can follow these steps:
1. Start with the given equation: 36x − 19 = 53.
2. Add 19 to both sides of the equation to isolate 36x: 36x − 19 + 19 = 53 + 19.
3. Simplify both sides of the equation: 36x = 72.
4. Divide both sides of the equation by 36 to find the value of x: 36x/36 = 72/36.
5. Simplify both sides of the equation: x = 2.
Therefore, Stacia bought 2 concert 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 what type of method is used for this problem
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