Mr. Kelly And Mr. Brust Are Raising Funds For A Big Trip To Graceland. Mr. Kelly Makes About $15 For Every Hour He Works, And Mr. Brust Makes About $5 For Every Hour He Works. They Figure They Need To Make At Least $100 To Go.a) Write An

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Mr. Kelly and Mr. Brust's Big Trip to Graceland: A Mathematical Fundraising Challenge

Mr. Kelly and Mr. Brust are two individuals who are planning a big trip to Graceland, the famous home of Elvis Presley. To make this trip a reality, they need to raise at least $100. In this article, we will explore how Mr. Kelly and Mr. Brust can work together to raise the necessary funds for their trip.

Mr. Kelly makes about $15 for every hour he works, while Mr. Brust makes about $5 for every hour he works. To determine how many hours they need to work together to raise at least $100, we can use the following formula:

Total Amount = (Hourly Wage of Mr. Kelly x Number of Hours Mr. Kelly Works) + (Hourly Wage of Mr. Brust x Number of Hours Mr. Brust Works)

We can simplify this formula by letting x be the number of hours Mr. Kelly works and y be the number of hours Mr. Brust works. Then, the total amount they raise is given by:

Total Amount = 15x + 5y

Since they need to raise at least $100, we can set up the inequality:

15x + 5y ≥ 100

To solve the inequality, we can first divide both sides by 5 to get:

3x + y ≥ 20

Now, we can try to find the minimum values of x and y that satisfy this inequality. Since x and y are both non-negative, we can try to find the smallest values of x and y that satisfy the inequality.

Let's start by trying x = 0. Then, we have:

y ≥ 20

This means that Mr. Brust needs to work at least 20 hours to raise at least $100. However, this is not a feasible solution, since Mr. Brust only makes $5 per hour.

Next, let's try x = 1. Then, we have:

3(1) + y ≥ 20

Simplifying this inequality, we get:

3 + y ≥ 20

Subtracting 3 from both sides, we get:

y ≥ 17

This means that Mr. Brust needs to work at least 17 hours to raise at least $100. However, this is still not a feasible solution, since Mr. Brust only makes $5 per hour.

Let's try x = 2. Then, we have:

3(2) + y ≥ 20

Simplifying this inequality, we get:

6 + y ≥ 20

Subtracting 6 from both sides, we get:

y ≥ 14

This means that Mr. Brust needs to work at least 14 hours to raise at least $100. This is a feasible solution, since Mr. Brust only makes $5 per hour.

In conclusion, Mr. Kelly and Mr. Brust need to work together to raise at least $100 for their trip to Graceland. By solving the inequality 15x + 5y ≥ 100, we found that Mr. Brust needs to work at least 14 hours to raise at least $100. This is a feasible solution, since Mr. Brust only makes $5 per hour.

Mr. Kelly and Mr. Brust's fundraising challenge highlights the importance of teamwork in achieving a common goal. By working together, they can raise the necessary funds for their trip to Graceland. This is a great example of how individuals can come together to achieve a common goal.

The concept of Mr. Kelly and Mr. Brust's fundraising challenge has real-world applications in many areas, such as:

  • Business: In a business setting, employees may need to work together to achieve a common goal, such as meeting sales targets or completing a project.
  • Sports: In a sports setting, team members may need to work together to achieve a common goal, such as winning a game or tournament.
  • Community: In a community setting, individuals may need to work together to achieve a common goal, such as organizing a charity event or raising funds for a local cause.

In conclusion, Mr. Kelly and Mr. Brust's fundraising challenge highlights the importance of teamwork in achieving a common goal. By working together, they can raise the necessary funds for their trip to Graceland. This is a great example of how individuals can come together to achieve a common goal.

Mr. Kelly and Mr. Brust's fundraising challenge is a great example of how individuals can come together to achieve a common goal. By working together, they can raise the necessary funds for their trip to Graceland. This is a great lesson in the importance of teamwork and collaboration.

The author is a mathematics enthusiast who enjoys solving problems and exploring new concepts. They have a strong background in mathematics and enjoy sharing their knowledge with others.
Mr. Kelly and Mr. Brust's Big Trip to Graceland: A Mathematical Fundraising Challenge - Q&A

In our previous article, we explored how Mr. Kelly and Mr. Brust can work together to raise at least $100 for their trip to Graceland. We solved the inequality 15x + 5y ≥ 100 to find that Mr. Brust needs to work at least 14 hours to raise at least $100. In this article, we will answer some frequently asked questions about Mr. Kelly and Mr. Brust's fundraising challenge.

Q: What is the hourly wage of Mr. Kelly and Mr. Brust?

A: Mr. Kelly makes about $15 for every hour he works, while Mr. Brust makes about $5 for every hour he works.

Q: How many hours do Mr. Kelly and Mr. Brust need to work together to raise at least $100?

A: To determine how many hours they need to work together to raise at least $100, we can use the formula:

Total Amount = (Hourly Wage of Mr. Kelly x Number of Hours Mr. Kelly Works) + (Hourly Wage of Mr. Brust x Number of Hours Mr. Brust Works)

We can simplify this formula by letting x be the number of hours Mr. Kelly works and y be the number of hours Mr. Brust works. Then, the total amount they raise is given by:

Total Amount = 15x + 5y

Since they need to raise at least $100, we can set up the inequality:

15x + 5y ≥ 100

Q: What is the minimum number of hours Mr. Brust needs to work to raise at least $100?

A: To find the minimum number of hours Mr. Brust needs to work to raise at least $100, we can try to find the smallest value of y that satisfies the inequality 15x + 5y ≥ 100.

Let's start by trying x = 0. Then, we have:

y ≥ 20

This means that Mr. Brust needs to work at least 20 hours to raise at least $100. However, this is not a feasible solution, since Mr. Brust only makes $5 per hour.

Next, let's try x = 1. Then, we have:

3(1) + y ≥ 20

Simplifying this inequality, we get:

3 + y ≥ 20

Subtracting 3 from both sides, we get:

y ≥ 17

This means that Mr. Brust needs to work at least 17 hours to raise at least $100. However, this is still not a feasible solution, since Mr. Brust only makes $5 per hour.

Let's try x = 2. Then, we have:

3(2) + y ≥ 20

Simplifying this inequality, we get:

6 + y ≥ 20

Subtracting 6 from both sides, we get:

y ≥ 14

This means that Mr. Brust needs to work at least 14 hours to raise at least $100. This is a feasible solution, since Mr. Brust only makes $5 per hour.

Q: What is the importance of teamwork in achieving a common goal?

A: Mr. Kelly and Mr. Brust's fundraising challenge highlights the importance of teamwork in achieving a common goal. By working together, they can raise the necessary funds for their trip to Graceland. This is a great example of how individuals can come together to achieve a common goal.

Q: What are some real-world applications of Mr. Kelly and Mr. Brust's fundraising challenge?

A: The concept of Mr. Kelly and Mr. Brust's fundraising challenge has real-world applications in many areas, such as:

  • Business: In a business setting, employees may need to work together to achieve a common goal, such as meeting sales targets or completing a project.
  • Sports: In a sports setting, team members may need to work together to achieve a common goal, such as winning a game or tournament.
  • Community: In a community setting, individuals may need to work together to achieve a common goal, such as organizing a charity event or raising funds for a local cause.

In conclusion, Mr. Kelly and Mr. Brust's fundraising challenge highlights the importance of teamwork in achieving a common goal. By working together, they can raise the necessary funds for their trip to Graceland. This is a great example of how individuals can come together to achieve a common goal.

Mr. Kelly and Mr. Brust's fundraising challenge is a great example of how individuals can come together to achieve a common goal. By working together, they can raise the necessary funds for their trip to Graceland. This is a great lesson in the importance of teamwork and collaboration.

The author is a mathematics enthusiast who enjoys solving problems and exploring new concepts. They have a strong background in mathematics and enjoy sharing their knowledge with others.