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 multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

addition and division
addition and division

subtraction and division

5 answers

The correct response is "subtraction and division".

In the equation 36x - 19 = 53, we are subtracting the discount amount ($19) from the original ticket price ($36) and setting it equal to the total amount paid ($53).

To solve for x, which represents the number of tickets Stacia bought, we need to divide both sides of the equation by the remaining ticket price ($36). This operation involves division.
Niel has a bucket of beads. He uses them to make 8 identical necklaces and then buys 25 beads at the store. He ends up with a total of 500 beads. How many did he start with? Identify the operations needed to solve this problem using the equation b/8 + 25 = 500
.(1 point)
Responses

subtraction and division
subtraction and division

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

addition and division
addition and division
The correct response is "subtraction and multiplication".

In the equation b/8 + 25 = 500, "b" represents the number of beads Niel started with.

To solve for b, we need to subtract 25 from both sides of the equation. This operation involves subtraction.

After subtracting 25, we need to multiply both sides of the equation by 8 to isolate b on one side of the equation. This operation involves multiplication.
A window cleaner has enough supplies to clean 21 windows per office building on a certain number of buildings. They can also clean the windows of a school with 42 windows. Altogether, there are enough supplies to clean 126 windows. How many office buildings can be washed? Identify the equation that would be used to solve this problem algebraically.(1 point)
Responses

42x+21=126
42 x plus 21 equals 126

21x−42=126
21 x minus 42 equals 126

21x+42=126
21 x plus 42 equals 126

42x−21=126
42 x minus 21 equals 126
The correct equation to solve this problem algebraically is 42x + 21 = 126.

In the equation, x represents the number of office buildings that can be washed.

To solve for x, we need to multiply the number of office buildings (x) by the number of windows per building (42), and add to that the number of windows in the school (42x + 21). This equation is set equal to the total number of windows that can be cleaned (126).