what percentage of 16 is 12

Guri Bee

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23-10-2024

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What Percentage of 16 is 12? Finding the Answer with Ratios and Proportions

Have you ever wondered what percentage of 16 is represented by the number 12? This is a common problem encountered in various fields, from everyday calculations to data analysis. In this article, we'll explore the solution using a simple ratio approach and explain the underlying concepts.

Understanding the Question

The question "What percentage of 16 is 12?" essentially asks: what fraction of 16 does 12 represent? To solve this, we can use the concept of ratios and proportions.

Solving with Ratios and Proportions

1. Set up a Ratio: We can represent the relationship between 12 and 16 as a ratio: 12/16. This means that 12 is to 16 in the same way that the unknown percentage (let's call it "x") is to 100.

2. Form a Proportion: We can write this relationship as a proportion: 12/16 = x/100

3. Solve for x: To find the unknown percentage (x), we can cross-multiply the proportion:

   12 * 100 = 16 * x

   1200 = 16x

4. Isolate x: Divide both sides of the equation by 16:

   x = 1200 / 16

   x = 75

Therefore, 12 is 75% of 16.

Practical Applications

This concept has numerous practical applications:

• Calculating Discounts: If a product is discounted from $16 to $12, you've saved 75% of the original price.
• Analyzing Data: If 12 out of 16 students passed a test, you can determine the passing rate is 75%.
• Understanding Proportions: This approach can be used to calculate any percentage relationship between two quantities.

Further Exploration

The concept of ratios and proportions is fundamental to many mathematical concepts, including:

• Scale Drawings: Architects and designers use ratios to create accurate models of buildings and objects.
• Unit Conversion: Converting measurements from one unit to another (e.g., inches to centimeters) relies on specific ratios.
• Financial Calculations: Calculating interest rates, investments, and loan payments often involve ratios and proportions.

Conclusion

By understanding ratios and proportions, we can confidently solve percentage problems like "What percentage of 16 is 12?" and apply this knowledge to various real-world situations.

Note: The original content for this article was based on information found in the following GitHub repository: [Link to the GitHub Repository] However, the content has been adapted, analyzed, and expanded upon to create a unique and informative article.