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 point)
Responses
addition and division
addition and division
addition and multiplication
addition and multiplication
subtraction and multiplication
subtraction and multiplication
subtraction and division
The correct answer is:
addition and division
The correct operations needed to solve this problem are subtraction and division.
To find the number of tickets Stacia bought, we can use the equation 36x - 19 = 53, where x represents the number of tickets.
The subtraction operation is used to calculate the ticket price after the discount. 36x - 19 represents the total amount Stacia paid for the tickets after subtracting the discount.
The division operation is used to solve for x, the number of tickets. Dividing both sides of the equation by 36 will give us the value of x.
To solve this problem, we can use the equation 36x - 19 = 53, where x represents the number of tickets Stacia bought.
First, we can add 19 to both sides of the equation to isolate the term with 36x:
36x - 19 + 19 = 53 + 19
This simplifies to:
36x = 72
Next, we can divide both sides of the equation by 36 to solve for x:
36x/36 = 72/36
This simplifies to:
x = 2
Therefore, Stacia bought 2 tickets. The operations needed to solve this problem using the equation are subtraction (to subtract 19 from 36x) and division (to divide both sides of the equation by 36).