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
A. addition and division
B. addition and multiplication
C. subtraction and division
D. subtraction and multiplication
D. subtraction and multiplication
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.
A. addition and division
B. addition and multiplication
C. subtraction and division
D. subtraction and multiplication
D. subtraction and multiplication
The equation mentioned, 36x - 19 = 53, can be used to solve this problem.
Let's break it down step by step:
1. Start with the equation 36x - 19 = 53, where 'x' represents the number of tickets Stacia bought.
2. We can simplify the equation by adding 19 to both sides to isolate the term on the left side of the equation: 36x - 19 + 19 = 53 + 19. This gives us 36x = 72.
3. To solve for 'x', we need to isolate it on one side of the equation. Since 36 is multiplied with 'x', we can use the operation of division to cancel out the 36. Divide both sides of the equation by 36: (36x) / 36 = 72 / 36. This yields x = 2.
Therefore, Stacia bought 2 tickets for the concert.
Looking at the operations used, we added 19 to both sides of the equation, and then divided both sides by 36. So the correct answer is:
C. subtraction and division