A Cake Is Cut Into 10 Slices. Four Slices Are Eaten. What Is This Number As A Percentage Of The Cake?A. 4%B. 6%C. 25%D. 40%

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Introduction

In this article, we will explore the concept of percentage calculations using a simple yet relatable scenario: cutting a cake into slices and determining the percentage of the cake that has been eaten. We will delve into the world of mathematics, specifically focusing on percentages, to find the correct answer.

The Cake Scenario

Imagine a delicious cake that has been cut into 10 equal slices. Four of these slices have been eaten, leaving 6 slices remaining. The question arises: what percentage of the cake has been consumed?

Calculating the Percentage

To find the percentage of the cake that has been eaten, we need to use the formula:

Percentage = (Number of slices eaten / Total number of slices) x 100

In this case, the number of slices eaten is 4, and the total number of slices is 10.

Step 1: Divide the Number of Slices Eaten by the Total Number of Slices

4 (slices eaten) ÷ 10 (total slices) = 0.4

Step 2: Multiply the Result by 100

0.4 x 100 = 40%

Conclusion

Therefore, the correct answer is D. 40%. This means that 40% of the cake has been eaten.

Why is this Important?

Understanding percentage calculations is crucial in various aspects of life, such as:

  • Finance: Calculating interest rates, investment returns, and credit card balances.
  • Science: Measuring the concentration of substances, such as the percentage of a solution.
  • Everyday Life: Determining the percentage of a task completed, such as a project's progress.

Real-World Applications

Percentage calculations have numerous real-world applications, including:

  • Cooking: Measuring the percentage of sugar in a recipe.
  • Sports: Calculating the percentage of a team's winning streak.
  • Business: Determining the percentage of a company's revenue from a particular product.

Tips and Tricks

When working with percentages, remember:

  • Always use the correct formula: Percentage = (Number of slices eaten / Total number of slices) x 100.
  • Be careful with decimal places: Make sure to multiply the result by 100 to get the correct percentage.
  • Practice makes perfect: The more you practice calculating percentages, the more comfortable you will become with the concept.

Conclusion

Introduction

In our previous article, we explored the concept of percentage calculations using a simple yet relatable scenario: cutting a cake into slices and determining the percentage of the cake that has been eaten. We will now delve into a Q&A session to further clarify any doubts and provide additional insights.

Q: What if the cake is cut into 12 slices instead of 10?

A: If the cake is cut into 12 slices, and 4 slices are eaten, we can use the same formula to calculate the percentage:

Percentage = (Number of slices eaten / Total number of slices) x 100 = (4 / 12) x 100 = 0.33 x 100 = 33.33%

So, if the cake is cut into 12 slices, 33.33% of the cake has been eaten.

Q: How do I calculate the percentage of a cake that has been eaten if I don't know the total number of slices?

A: If you don't know the total number of slices, you can still calculate the percentage by using the formula:

Percentage = (Number of slices eaten / Total number of slices) x 100

However, you will need to know the total number of slices to calculate the percentage. If you don't know the total number of slices, you can try to find it by asking the person who cut the cake or by counting the remaining slices.

Q: Can I use a calculator to calculate the percentage?

A: Yes, you can use a calculator to calculate the percentage. Simply enter the number of slices eaten and the total number of slices, and the calculator will give you the percentage.

Q: What if I want to calculate the percentage of a cake that has been eaten, but I only know the number of slices remaining?

A: If you only know the number of slices remaining, you can calculate the percentage by using the formula:

Percentage = (Total number of slices - Number of slices remaining) / Total number of slices x 100

For example, if the cake is cut into 10 slices, and 6 slices remain, you can calculate the percentage as follows:

Percentage = (10 - 6) / 10 x 100 = 4 / 10 x 100 = 0.4 x 100 = 40%

So, if 6 slices remain, 40% of the cake has been eaten.

Q: Can I use a percentage calculator online to calculate the percentage?

A: Yes, you can use a percentage calculator online to calculate the percentage. Simply enter the number of slices eaten and the total number of slices, and the calculator will give you the percentage.

Q: What if I want to calculate the percentage of a cake that has been eaten, but I only know the weight of the cake?

A: If you only know the weight of the cake, you will need to know the weight of each slice to calculate the percentage. You can then use the formula:

Percentage = (Weight of slices eaten / Weight of total cake) x 100

For example, if the cake weighs 2 kg, and each slice weighs 200g, you can calculate the percentage as follows:

Percentage = (4 x 200g) / 2000g x 100 = 800g / 2000g x 100 = 0.4 x 100 = 40%

So, if 4 slices are eaten, 40% of the cake has been eaten.

Conclusion

In conclusion, calculating the percentage of a cake that has been eaten is a simple yet important concept in mathematics. By following the correct formula and being mindful of decimal places, we can determine the correct answer. Remember, percentage calculations have numerous real-world applications, and practicing this concept will make you more confident in your mathematical abilities.