Understanding the Thread Extraction Rate

Oct 13, 2025 by thesweetdesigns.com 136 views

Introduction

In this problem, we are presented with a scenario where Kira unravels a shirt to extract blue thread. The thread is obtained at a rate of 231 cm per cm of the shirt. We are asked to determine the total amount of thread Kira gets when she unravels 7 cm of the shirt. In this article, we will delve into the mathematical calculations required to solve this problem.

Understanding the Thread Extraction Rate

The thread extraction rate is given as 231 cm of thread per cm of the shirt. This means that for every centimeter of the shirt that Kira unravels, she gets 231 cm of thread. To understand this rate, let's consider an analogy. Imagine a machine that produces 231 units of output for every unit of input. In this case, the input is the centimeter of the shirt, and the output is the centimeter of thread.

Calculating the Total Thread Obtained

Now that we understand the thread extraction rate, we can calculate the total amount of thread Kira gets when she unravels 7 cm of the shirt. To do this, we multiply the thread extraction rate (231 cm/cm) by the number of centimeters unraveled (7 cm).

Mathematical Calculation

Let's perform the mathematical calculation:

Total thread obtained = Thread extraction rate x Number of centimeters unraveled = 231 cm/cm x 7 cm = 1617 cm

Conclusion

In conclusion, Kira gets 1617 cm of thread when she unravels 7 cm of the shirt. This is because the thread extraction rate is 231 cm of thread per cm of the shirt, and she unravels 7 cm of the shirt. The mathematical calculation confirms that the total thread obtained is 1617 cm.

Answer

The correct answer is (A) Kira gets 1617 cm of thread.

Discussion

This problem requires a basic understanding of multiplication and the concept of rate. The thread extraction rate is a key concept in this problem, and it is essential to understand how it relates to the total thread obtained. The mathematical calculation is straightforward, but it requires attention to detail to ensure that the correct units are used.

Real-World Applications

The concept of thread extraction rate has real-world applications in various industries, such as textiles and manufacturing. Understanding how to calculate the total thread obtained from a given amount of material is crucial in these industries. This problem provides a simple example of how to apply mathematical concepts to real-world problems.

Additional Examples

Here are a few additional examples to illustrate the concept of thread extraction rate:

If the thread extraction rate is 400 cm of thread per cm of the shirt, and Kira unravels 5 cm of the shirt, how much thread does she get?
If the thread extraction rate is 150 cm of thread per cm of the shirt, and Kira unravels 10 cm of the shirt, how much thread does she get?

Introduction

In our previous article, we explored the concept of thread extraction rate and how it relates to the total thread obtained from a given amount of material. We also solved a problem where Kira unravels 7 cm of a shirt to get blue thread at a rate of 231 cm of thread per cm of the shirt. In this article, we will provide a Q&A section to further clarify any doubts and provide additional examples.

Q: What is the thread extraction rate?

A: The thread extraction rate is the amount of thread obtained per unit of material unraveled. In the case of Kira, the thread extraction rate is 231 cm of thread per cm of the shirt.

Q: How do I calculate the total thread obtained?

A: To calculate the total thread obtained, you need to multiply the thread extraction rate by the number of units of material unraveled. For example, if the thread extraction rate is 231 cm of thread per cm of the shirt, and Kira unravels 7 cm of the shirt, the total thread obtained would be:

Total thread obtained = Thread extraction rate x Number of centimeters unraveled = 231 cm/cm x 7 cm = 1617 cm

Q: What if the thread extraction rate is different?

A: If the thread extraction rate is different, you need to use the new rate to calculate the total thread obtained. For example, if the thread extraction rate is 400 cm of thread per cm of the shirt, and Kira unravels 5 cm of the shirt, the total thread obtained would be:

Total thread obtained = Thread extraction rate x Number of centimeters unraveled = 400 cm/cm x 5 cm = 2000 cm

Q: Can I use this concept in real-world applications?

A: Yes, the concept of thread extraction rate has real-world applications in various industries, such as textiles and manufacturing. Understanding how to calculate the total thread obtained from a given amount of material is crucial in these industries.

Q: What if I have a different unit of measurement?

A: If you have a different unit of measurement, you need to convert it to the same unit as the thread extraction rate. For example, if the thread extraction rate is 231 cm of thread per cm of the shirt, and you want to know the total thread obtained from 10 inches of the shirt, you need to convert the inches to centimeters first.

Q: Can I use this concept to solve other problems?

A: Yes, the concept of thread extraction rate can be used to solve other problems that involve rates and proportions. For example, if you know the rate at which a machine produces output, you can use this concept to calculate the total output produced from a given amount of input.

Additional Examples

Here are a few additional examples to illustrate the concept of thread extraction rate:

If the thread extraction rate is 150 cm of thread per cm of the shirt, and Kira unravels 10 cm of the shirt, how much thread does she get?
If the thread extraction rate is 300 cm of thread per cm of the shirt, and Kira unravels 8 cm of the shirt, how much thread does she get?
If the thread extraction rate is 200 cm of thread per cm of the shirt, and Kira unravels 12 cm of the shirt, how much thread does she get?

These examples require the same mathematical calculation as the original problem, but with different thread extraction rates and amounts of material unraveled.