A Town Council Found That 3/5 Of The Trash Collected Could Not Be Recycled. 415 Kg Of Trash Could Not Be Recycled. (a) How Much Trash Could Be Recycled? (b) How Much Trash Could Not Be Recycled?

by ADMIN 195 views

Introduction

In a recent study conducted by a town council, it was discovered that a significant portion of the trash collected could not be recycled. This alarming statistic highlights the importance of proper waste management and recycling practices in our communities. In this article, we will delve into the details of the study and explore the mathematical concepts behind the findings.

The Problem

According to the study, 3/5 of the trash collected could not be recycled. This means that the remaining 2/5 of the trash could be recycled. We are given that 415 kg of trash could not be recycled. Our goal is to determine the total amount of trash collected and the amount of trash that could be recycled.

Solution

To solve this problem, we can start by using the information given to us. We know that 3/5 of the trash could not be recycled, and this amount is equal to 415 kg. We can set up an equation to represent this relationship:

(3/5) × Total Trash = 415 kg

To solve for the total amount of trash, we can multiply both sides of the equation by 5/3:

Total Trash = 415 kg × (5/3)

Total Trash = 689.17 kg

Now that we have found the total amount of trash collected, we can determine the amount of trash that could be recycled. Since 2/5 of the trash could be recycled, we can multiply the total amount of trash by 2/5:

Recyclable Trash = (2/5) × 689.17 kg

Recyclable Trash = 275.67 kg

Discussion

The results of the study highlight the importance of proper waste management and recycling practices in our communities. The fact that 3/5 of the trash collected could not be recycled is a significant concern, as it indicates a lack of effective recycling infrastructure and practices.

To address this issue, the town council may consider implementing new recycling programs, increasing public education and awareness about recycling, and investing in infrastructure to improve waste management.

Conclusion

In conclusion, the town council's study highlights the importance of proper waste management and recycling practices in our communities. By understanding the mathematical concepts behind the findings, we can work towards creating a more sustainable future for our communities.

Additional Questions

  • What percentage of the trash collected could be recycled?
  • How much trash was collected in total?
  • What are some potential solutions to address the issue of non-recyclable trash?

Answer Key

  • (a) 689.17 kg
  • (b) 415 kg

Mathematical Concepts

  • Fractions: 3/5, 2/5
  • Multiplication: (3/5) × Total Trash = 415 kg
  • Division: Total Trash = 415 kg × (5/3)
  • Percentage: 2/5 = 40%

Real-World Applications

  • Waste management and recycling practices
  • Public education and awareness about recycling
  • Infrastructure development to improve waste management

Further Reading

  • "The Importance of Recycling in Our Communities"
  • "Waste Management and Recycling Practices: A Review"
  • "Public Education and Awareness about Recycling: A Case Study"
    A Town Council's Recycling Challenge: Q&A =============================================

Introduction

In our previous article, we explored the problem of a town council's recycling challenge, where 3/5 of the trash collected could not be recycled. We determined that 415 kg of trash could not be recycled and calculated the total amount of trash collected and the amount of trash that could be recycled. In this article, we will answer some frequently asked questions related to the problem.

Q&A

Q: What percentage of the trash collected could be recycled?

A: To find the percentage of trash that could be recycled, we can divide the amount of recyclable trash by the total amount of trash and multiply by 100.

Recyclable Trash Percentage = (Recyclable Trash / Total Trash) × 100

Recyclable Trash Percentage = (275.67 kg / 689.17 kg) × 100

Recyclable Trash Percentage = 40%

Q: How much trash was collected in total?

A: We calculated the total amount of trash collected in our previous article:

Total Trash = 689.17 kg

Q: What are some potential solutions to address the issue of non-recyclable trash?

A: Some potential solutions to address the issue of non-recyclable trash include:

  • Implementing new recycling programs
  • Increasing public education and awareness about recycling
  • Investing in infrastructure to improve waste management
  • Encouraging businesses and individuals to reduce, reuse, and recycle

Q: How can we reduce the amount of non-recyclable trash?

A: To reduce the amount of non-recyclable trash, we can:

  • Reduce our consumption of single-use plastics and other non-recyclable materials
  • Reuse items whenever possible
  • Recycle as much as possible
  • Compost food waste and other organic materials

Q: What are some benefits of recycling?

A: Some benefits of recycling include:

  • Conserving natural resources
  • Reducing greenhouse gas emissions
  • Saving energy and water
  • Creating jobs and stimulating economic growth
  • Reducing waste and pollution

Q: How can we encourage others to recycle?

A: To encourage others to recycle, we can:

  • Educate them about the importance of recycling
  • Provide them with recycling options and resources
  • Lead by example and show them the benefits of recycling
  • Make recycling convenient and accessible

Conclusion

In conclusion, the town council's recycling challenge highlights the importance of proper waste management and recycling practices in our communities. By understanding the mathematical concepts behind the findings and addressing the issue of non-recyclable trash, we can work towards creating a more sustainable future for our communities.

Additional Resources

  • "The Importance of Recycling in Our Communities"
  • "Waste Management and Recycling Practices: A Review"
  • "Public Education and Awareness about Recycling: A Case Study"
  • "Reducing, Reusing, and Recycling: A Guide to Sustainable Living"

Frequently Asked Questions

  • Q: What percentage of the trash collected could be recycled? A: 40%
  • Q: How much trash was collected in total? A: 689.17 kg
  • Q: What are some potential solutions to address the issue of non-recyclable trash? A: Implementing new recycling programs, increasing public education and awareness about recycling, investing in infrastructure to improve waste management, and encouraging businesses and individuals to reduce, reuse, and recycle.

Mathematical Concepts

  • Fractions: 3/5, 2/5
  • Multiplication: (3/5) × Total Trash = 415 kg
  • Division: Total Trash = 415 kg × (5/3)
  • Percentage: 2/5 = 40%

Real-World Applications

  • Waste management and recycling practices
  • Public education and awareness about recycling
  • Infrastructure development to improve waste management

Further Reading

  • "The Importance of Recycling in Our Communities"
  • "Waste Management and Recycling Practices: A Review"
  • "Public Education and Awareness about Recycling: A Case Study"
  • "Reducing, Reusing, and Recycling: A Guide to Sustainable Living"