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) add and sub
B) sub and multiply
C) sub and division
D) add and multiplication
The correct operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
In the equation, 36x represents the total cost of the tickets (36 dollars per ticket) and -19 represents the discount. The equation is set equal to 53, which represents the total amount Stacia paid for the tickets.
To solve the equation, we need to isolate the variable x, which represents the number of tickets bought by Stacia.
First, we subtract -19 from both sides of the equation:
36x - 19 + 19 = 53 + 19
36x = 72
Next, we divide both sides of the equation by 36 to solve for x:
36x / 36 = 72 / 36
x = 2
Therefore, Stacia bought 2 concert tickets.
The operations used to solve the equation are subtraction and division.
The correct answer is C) sub and division.
To solve this problem using the equation 36x - 19 = 53, we need to perform subtraction and division.
Step 1: Subtract 19:
36x - 19 = 53 - 19
36x - 19 = 34
Step 2: Solve for x by dividing both sides by 36:
(36x - 19)/36 = 34/36
x - 19/36 = 17/18
So, the operations needed to solve this problem are subtraction (sub) and division (division).
The correct answer is C) sub and division.
To solve the problem, we can set up the equation 36x - 19 = 53, where x represents the number of tickets Stacia bought.
To isolate x, we need to simplify the equation by performing the operations in the equation.
First, we subtract 19 from both sides of the equation:
36x - 19 - 19 = 53 - 19
36x - 38 = 34
Next, we can add 38 to both sides of the equation to isolate x:
36x - 38 + 38 = 34 + 38
36x = 72
Finally, to solve for x, we divide both sides of the equation by 36:
36x/36 = 72/36
x = 2
Therefore, Stacia bought 2 concert tickets.
The operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
So, the correct answer is:
C) sub and division