Your Employer Has 600 Business Cards Printed For You, And You Give Away 280 Of Them. To The Nearest Hundredth, What Percent Of The Cards Is Left?A) $18.75\%$ B) $21.43\%$ C) $53.33\%$ D) $46.67\%$

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Calculating the Percentage of Business Cards Left

Understanding the Problem

You have been given 600 business cards by your employer, and you have distributed 280 of them. Now, you need to find out what percentage of the cards is left. This problem involves basic arithmetic operations and percentage calculations.

Step 1: Calculate the Number of Cards Left

To find the number of cards left, we need to subtract the number of cards given away from the total number of cards.

Cards left = Total cards - Cards given away
Cards left = 600 - 280
Cards left = 320

Step 2: Calculate the Percentage of Cards Left

To find the percentage of cards left, we need to divide the number of cards left by the total number of cards and multiply by 100.

Percentage of cards left = (Cards left / Total cards) * 100
Percentage of cards left = (320 / 600) * 100
Percentage of cards left = 0.5333 * 100
Percentage of cards left = 53.33%

Conclusion

Therefore, the percentage of business cards left is 53.33%. This is the correct answer.

Answer Choice

The correct answer is C) 53.33%.

Explanation of Answer Choices

A) 18.75% is incorrect because it is the percentage of cards given away, not the percentage of cards left.

B) 21.43% is incorrect because it is not the correct percentage of cards left.

D) 46.67% is incorrect because it is not the correct percentage of cards left.

Real-World Application

This problem can be applied to real-world situations where you need to calculate the percentage of items left after a certain number of items have been given away or sold. For example, if you have a stock of 1000 items and you sell 200 of them, you can use this problem to calculate the percentage of items left.

Tips and Tricks

  • When calculating percentages, make sure to divide the number of items left by the total number of items and multiply by 100.
  • Use a calculator to simplify the calculation and avoid errors.
  • Check your answer by plugging in the numbers into the formula and making sure it matches the answer choice.

Common Mistakes

  • Forgetting to divide the number of items left by the total number of items.
  • Not multiplying by 100 to convert the decimal to a percentage.
  • Not checking the answer by plugging in the numbers into the formula.

Conclusion

In conclusion, this problem involves basic arithmetic operations and percentage calculations. By following the steps outlined in this article, you can calculate the percentage of business cards left and apply this problem to real-world situations.
Frequently Asked Questions (FAQs) - Calculating the Percentage of Business Cards Left

Q: What is the formula to calculate the percentage of business cards left?

A: The formula to calculate the percentage of business cards left is:

Percentage of cards left = (Cards left / Total cards) * 100

Q: How do I calculate the number of cards left?

A: To calculate the number of cards left, you need to subtract the number of cards given away from the total number of cards.

Cards left = Total cards - Cards given away

Q: What if I have a decimal answer? How do I convert it to a percentage?

A: To convert a decimal answer to a percentage, you need to multiply it by 100.

Percentage = Decimal answer * 100

Q: Can I use a calculator to simplify the calculation?

A: Yes, you can use a calculator to simplify the calculation and avoid errors.

Q: What if I make a mistake in my calculation? How do I check my answer?

A: To check your answer, you can plug in the numbers into the formula and make sure it matches the answer choice.

Q: Can I apply this problem to real-world situations?

A: Yes, you can apply this problem to real-world situations where you need to calculate the percentage of items left after a certain number of items have been given away or sold.

Q: What are some common mistakes to avoid when calculating percentages?

A: Some common mistakes to avoid when calculating percentages include:

  • Forgetting to divide the number of items left by the total number of items.
  • Not multiplying by 100 to convert the decimal to a percentage.
  • Not checking the answer by plugging in the numbers into the formula.

Q: Can I use this problem to calculate the percentage of items left in a stock or inventory?

A: Yes, you can use this problem to calculate the percentage of items left in a stock or inventory.

Q: What if I have a large number of items? How do I simplify the calculation?

A: To simplify the calculation, you can use a calculator or divide the number of items left by the total number of items and multiply by 100.

Q: Can I use this problem to calculate the percentage of items left in a sale or promotion?

A: Yes, you can use this problem to calculate the percentage of items left in a sale or promotion.

Q: What if I need to calculate the percentage of items left in a specific category or group?

A: To calculate the percentage of items left in a specific category or group, you need to divide the number of items left in that category or group by the total number of items in that category or group and multiply by 100.

Conclusion

In conclusion, this article provides a comprehensive guide to calculating the percentage of business cards left. By following the steps outlined in this article, you can calculate the percentage of business cards left and apply this problem to real-world situations.