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/
addition and divison
subtraction and multiplication
subtraction and division
addition and multiplication
Correct answer is Addition and Division
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.
addition and division
addition and multiplication
subtraction and division
subtraction and multiplication
The correct operations needed to solve this problem using the equation 36x - 19 = 53 are subtraction and division.
Explanation:
To solve the equation 36x - 19 = 53, we need to isolate the variable x, which represents the number of tickets Stacia bought.
First, we subtract 19 from both sides of the equation:
36x - 19 - 19 = 53 - 19
36x - 38 = 34
Next, we isolate x by dividing both sides of the equation by 36:
(36x - 38) / 36 = 34 / 36
x - (38/36) = (17/18)
Simplifying further, we find:
x - (19/18) = (17/18)
Finally, we can conclude that Stacia bought approximately 1 ticket.
The correct equation to solve this problem is 36x - 19 = 53. This equation represents the cost of the tickets before the discount and after the discount being equal to the total paid by Stacia.
To solve this equation, we need to perform subtraction and division operations. The first step is to isolate the variable x by getting rid of the constant term on the left side of the equation.
Step 1: Subtract 19 from both sides of the equation:
36x - 19 - 19 = 53 - 19
This simplifies to:
36x - 38 = 34
Step 2: Next, isolate the variable x by dividing both sides of the equation by 36:
(36x - 38) / 36 = 34 / 36
This simplifies to:
x - 1.0556 = 0.9444
Step 3: Finally, add 1.0556 to both sides of the equation to solve for x:
x - 1.0556 + 1.0556 = 0.9444 + 1.0556
This simplifies to:
x = 2
Therefore, Stacia bought 2 concert tickets.
To solve this problem, we need to determine the number of concert tickets Stacia bought. We can set up an equation using the given information.
Let's denote the number of tickets Stacia bought as 'x.'
The cost of each ticket is $36, so the total cost of 'x' tickets would be '36x.'
She also received a $19 discount, so the total cost after the discount would be '36x - 19.'
Finally, we're told that she paid a total of $53 for the tickets, so we can set up the equation '36x - 19 = 53.'
To solve this equation, we'll need to isolate 'x' on one side of the equation. We can do this by performing the necessary operations.
To isolate 'x,' we start by adding 19 to both sides of the equation: '36x - 19 + 19 = 53 + 19.'
This simplifies to '36x = 72.'
Next, to solve for 'x,' we divide both sides of the equation by 36: '36x / 36 = 72 / 36.'
This simplifies to 'x = 2.'
Therefore, Stacia bought 2 concert tickets.