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

Question

.(1 point)
Responses

subtraction and division
subtraction and division

subtraction and multiplication
subtraction and multiplication

addition and division
addition and division

addition and multiplication

Answer 1

To solve the equation \( 36x - 19 = 53 \):

1. Addition: You need to isolate the term with \( x \) by adding 19 to both sides. This moves the discount to the other side of the equation: \[ 36x = 53 + 19 \]

2. Division: After simplifying the right side, you would then divide by 36 to solve for \( x \): \[ x = \frac{72}{36} \]

So, the operations needed to solve the problem are addition and division.

Therefore, the correct response is:

addition and division.

Answer 2

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 b8 + 25 = 500
.(1 point)
Responses

addition and multiplication
addition and multiplication

addition and division
addition and division

subtraction and division
subtraction and division

subtraction and multiplication
subtraction and 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

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

42x−21=126
42 x minus 21 equals 126

21x−42=126
21 x minus 42 equals 126

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

Answer 3

Let's break down each part of your query:

Part 1: Niel's Beads

To solve the equation \( b \cdot 8 + 25 = 500 \):

1. Subtraction: First, you need to isolate the term involving beads. You would subtract 25 from both sides to account for the beads he bought: \[ b \cdot 8 = 500 - 25 \]

2. Division: Next, you'll divide by 8 to find \( b \): \[ b = \frac{475}{8} \]

So, the operations needed to solve this problem are subtraction and division.

The correct response for Niel's beads is: subtraction and division.

Part 2: Window Cleaner

For the window cleaner problem, we want to find how many office buildings (let's say \( x \)) can be cleaned given that each building has 21 windows and there is a school with 42 windows. The total of windows cleaned is 126.

You can set up the equation as follows: \[ 21x + 42 = 126 \]

This clearly indicates that the number of windows cleaned from \( x \) office buildings plus the 42 windows of the school equals the total of 126 windows.

The correct response for the window cleaner's equation is: 21x + 42 = 126.

Answer 4

Damari is selling popcorn for $3 a bag. He already has $40, and his goal is to earn $85. Determine how many bags he needs to sell to make his goal.(1 point)
Responses

205
205

135
135

15
15

28

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 inverse operations needed to solve this problem using the equation: 3x - 19 = 53(1 point)
Responses

subtraction and division
subtraction and division

addition and multiplication
addition and multiplication

addition and division
addition and division

subtraction and multiplication
subtraction and multiplication

Liam cleaned 21 windows per office building for a certain number of buildings. He also cleaned 42 windows of a school. Altogether, he cleaned 126 windows. How many office buildings did he clean? Identify the equation that could be used to solve this problem algebraically.(1 point)
Responses

21x + 42 = 126
21x + 42 = 126

42x + 21 = 126
42x + 21 = 126

42x - 21 = 126
42x - 21 = 126

21x - 42 = 126

Answer 5

Let's break down each part of your query:

Part 1: Damari's Popcorn Sale

Damari wants to earn a total of $85. Since he already has $40, the additional amount he needs to earn is: \[ 85 - 40 = 45 \] Now, he sells popcorn at $3 per bag, so to find out how many bags \( x \) he needs to sell to earn $45, we set up the equation: \[ 3x = 45 \] Now, dividing both sides by 3 gives: \[ x = \frac{45}{3} = 15 \]

So, Damari needs to sell 15 bags of popcorn.

Part 2: Stacia's Concert Tickets

The provided equation to work with is \( 3x - 19 = 53 \). To find the number of tickets Stacia bought (\( x \)), we can identify the inverse operations:

1. Addition: First, we add 19 to both sides to eliminate the discount: \[ 3x = 53 + 19 \]

2. Division: Next, we divide by 3 to solve for \( x \): \[ x = \frac{72}{3} \]

Thus, the inverse operations needed to solve this problem are addition and division.

Part 3: Liam's Window Cleaning

For the window cleaning problem, the total number of windows cleaned (including the school and the office buildings) is given by: \[ 21x + 42 = 126 \] where \( x \) represents the number of office buildings he cleaned.

So, the correct equation that could be used to solve this problem is: 21x + 42 = 126.

Summary of Responses

1. Damari's Popcorn Sales: 15 bags
2. Stacia's Inverse Operations: addition and division
3. Liam's Equation: 21x + 42 = 126