Weight Calculation and Average Increase in Group

Seo optimization is not just about maximizing keyword usage but also about creating content that is informative, relevant, and easy to understand for both search engines and users. In the following article, we explore a problem related to weight and average increase, breaking it down step-by-step to illustrate how to solve such problems logically and systematically. This content will remain consistent with Google's criteria for content quality.

Problem Setup

The average weight of 8 persons is increased by 2.5 kilograms when one of them whose weight is 56 kg is replaced by a new man. The question is: 'What is the weight of the new man?' This problem involves basic algebra and the concept of average, making it an excellent example for understanding these concepts.

Step-by-Step Solution

To find the weight of the new man, we start by setting up the initial and final equations based on the provided information.

Calculate the Original Average Weight

Let W be the total weight of the 8 persons. The average weight is given by:

[text{Average weight} frac{W}{8}]

Let's denote 'X' as the original average weight. Thus,

[frac{W}{8} X]

Effect of Replacement on Average Weight

When one person weighing 56 kg is replaced by a new man, the average weight increases by 2.5 kg. Thus, the new average weight can be expressed as:

[frac{W - 56 text{weight of new man}}{8} X 2.5]

Setting Up the Equation

By setting the two expressions for the new average weight equal, we get:

[frac{W - 56 text{weight of new man}}{8} frac{W}{8} 2.5]

Multiply both sides by 8 to eliminate the fraction:

[W - 56 text{weight of new man} W 20]

Solving the Equation

By simplifying the equation, we find:

[-56 text{weight of new man} 20]

Thus,

[text{Weight of new man} 20 56 76,text{kg}]

Conclusion and Keyword Integration

The total increase in the average weight of 7 persons is 2.5 kg, which means the total weight increase is 2.5 × 7 17.5 kg. Therefore, the weight of the new person is 65 kg 17.5 kg 82.5 kg. However, in the specific problem discussed here, the new man's weight can be calculated as shown, resulting in a clear and accurate answer.

The problem highlights the methodical approach to solving weight and average-related problems, which are important in various fields including mathematics and real-world scenarios involving population demographics. Understanding these concepts is crucial for SEO optimization, as it demonstrates the ability to solve practical problems effectively, a quality appreciated by both users and Google search algorithms.

SEO Keywords

average weight weight increase replacement person

By integrating these keywords into your content, you can optimize it for search engines and make sure it meets the quality standards expected by Google. Remember to distribute the keywords naturally within the text to maintain readability and authenticity.