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

Question

Responses

205
205

135
135

15
15

28

Answer 1

To find out how many bags of popcorn Damari needs to sell to reach his goal, we can set up the following equation:

1. Determine how much more money he needs to reach his goal: \[ 85 - 40 = 45 \]

2. Now we need to find out how many bags of popcorn he has to sell to make an additional $45. Since he sells each bag for $3, we can set up another equation: \[ 3x = 45 \] where \(x\) is the number of bags he needs to sell.

3. Now solve for \(x\): \[ x = \frac{45}{3} = 15 \]

So, Damari needs to sell 15 bags of popcorn to reach his goal of $85.

The correct answer is 15.

Answer 2

Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point)
Responses

6
6

9
9

3
3

4

Answer 3

To determine the width of Nya's rectangular garden given that she has 24 feet of fencing and the length is 3 feet, we need to use the formula for the perimeter of a rectangle:

\[ P = 2 \times (\text{length} + \text{width}) \]

Given that the perimeter \(P = 24\) feet, and the length is \(3\) feet, we can plug in these values:

\[ 24 = 2 \times (3 + \text{width}) \]

Now, divide both sides by 2:

\[ 12 = 3 + \text{width} \]

Next, subtract 3 from both sides to find the width:

\[ \text{width} = 12 - 3 = 9 \]

Thus, the width needs to be 9 feet for the rectangle to work.

The correct answer is 9.

Answer 4

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
subtraction and division

Answer 5

To solve the equation \(36x - 19 = 53\) for \(x\) (the number of tickets), let's break it down step-by-step.

1. Start with the equation: \[ 36x - 19 = 53 \]

2. Add 19 to both sides of the equation to isolate the term with \(x\): \[ 36x - 19 + 19 = 53 + 19 \] Simplifying this gives: \[ 36x = 72 \]

3. Next, divide both sides by 36 to solve for \(x\): \[ x = \frac{72}{36} \] Simplifying this gives: \[ x = 2 \]

So Stacia bought 2 tickets.

The operations needed to solve this problem used in the equation \(36x - 19 = 53\) are addition (to add 19) and division (to divide by 36).

Thus, the correct response is addition and division.

Answer 6

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

subtraction and multiplication
subtraction and multiplication

subtraction and division
subtraction and division

addition and multiplication
addition and multiplication

addition and division

Answer 7

To find out how many beads Niel started with using the equation \(b \cdot 8 + 25 = 500\), we want to solve for \(b\) (the number of beads used for each necklace).

1. Start with the equation: \[ b \cdot 8 + 25 = 500 \]

2. Subtract 25 from both sides of the equation: \[ b \cdot 8 + 25 - 25 = 500 - 25 \] This simplifies to: \[ b \cdot 8 = 475 \]

3. Next, divide both sides by 8 to solve for \(b\): \[ b = \frac{475}{8} \]

From the above steps, we used subtraction (to remove 25 from both sides) and division (to divide by 8).

Thus, the correct response is subtraction and division.

Answer 8

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 minus 42 equals 126

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

42x−21=126
42 x minus 21 equals 126

42x+21=126
42 x plus 21 equals 126
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Answer 9

To determine how many office buildings can be washed, we can set up the equation based on the information given:

1. Let \(x\) represent the number of office buildings.
2. Each office building can be cleaned with enough supplies to clean 21 windows, so the total number of windows cleaned from \(x\) office buildings is \(21x\).
3. The window cleaner can also clean the windows of one school that has 42 windows.

Since the total number of windows that can be cleaned is 126, we can write the equation as follows:

\[ 21x + 42 = 126 \]

Now, let's look at the options provided:

• 21x - 42 = 126
• 21x + 42 = 126 (This is correct)
• 42x - 21 = 126
• 42x + 21 = 126

The correct equation to use to solve this problem algebraically is:

21x + 42 = 126.