Question

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)

Responses

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine how many bags Damari needs to sell, we can subtract his current funds from his goal and divide by the price per bag.

Amount needed to reach goal = $85 - $40 = $45

Number of bags needed to sell = $45 ÷ $3 = 15 bags

Therefore, Damari needs to sell 15 bags of popcorn to reach his goal.

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)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To determine the width of the garden, we need to divide the total length of the fencing by 2 times the length of the garden since a rectangle has two equal sides.

Width = (Total length of fencing) / (2 x Length of the garden)

Width = 24 feet / (2 x 3 feet)

Width = 24 feet / 6 feet

Width = 4 feet

Therefore, the width of the garden needs to be 4 feet in order for it to work.

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 .

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can use the equation:

36x - 19 = 53

Where x represents the number of tickets Stacia bought.

To isolate x, we can add 19 to both sides of the equation:

36x - 19 + 19 = 53 + 19
36x = 72

Then, we can divide both sides by 36 to solve for x:

36x/36 = 72/36
x = 2

Therefore, Stacia bought 2 tickets. The operations used were addition, subtraction, 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  b/8 + 25 = 500 .

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can use the equation:

b/8 + 25 = 500

Where b represents the number of beads Niel started with.

To isolate b, we can subtract 25 from both sides of the equation:

b/8 + 25 - 25 = 500 - 25
b/8 = 475

Then, we can multiply both sides by 8 to solve for b:

8 * (b/8) = 475 * 8
b = 3800

Therefore, Niel started with 3800 beads. The operations used were subtraction and multiplication.

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)

Answer 9

[AI-generated answer — Bot GPT 3.5]

Let's denote the number of office buildings as 'x'. We know that each office building has 21 windows, and there is also a school with 42 windows. The total number of windows is given as 126. We can use the following equation to solve for the number of office buildings algebraically:

21x + 42 = 126

Where '21x' represents the number of windows in the office buildings (21 windows per building multiplied by the number of buildings) and 42 represents the number of windows in the school. To find the total number of windows, we add the number of office building windows and the number of school windows.

Simplifying further, we have:

21x = 126 - 42
21x = 84

Therefore, the equation that would be used to solve this problem algebraically is 21x + 42 = 126.