13. Higher Order ThinkingEric Has 240 Coins In His Collection.- \[$\frac{11}{20}\$\] Of The Coins Are Pennies.- \[$\frac{4}{20}\$\] Of The Coins Are Nickels.The Rest Of The Coins Are Quarters. How Many Of The Coins Are Quarters? Explain

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Introduction

Higher order thinking is a critical component of mathematics education, as it enables students to apply mathematical concepts to real-world problems. In this article, we will explore a higher order thinking problem involving a coin collection. Eric has 240 coins in his collection, consisting of pennies, nickels, and quarters. We will use mathematical reasoning to determine the number of quarters in Eric's collection.

Understanding the Problem

Eric has 240 coins in his collection. The coins are divided into three categories: pennies, nickels, and quarters. We are given the following information:

  • Pennies: 1120\frac{11}{20} of the coins are pennies.
  • Nickels: 420\frac{4}{20} of the coins are nickels.
  • Quarters: The rest of the coins are quarters.

Our goal is to determine the number of quarters in Eric's collection.

Step 1: Calculate the Number of Pennies

To calculate the number of pennies, we need to multiply the total number of coins by the fraction representing the number of pennies.

Number of pennies=1120×240\text{Number of pennies} = \frac{11}{20} \times 240

Using a calculator or performing the multiplication manually, we get:

Number of pennies=132\text{Number of pennies} = 132

Step 2: Calculate the Number of Nickels

Next, we need to calculate the number of nickels. We multiply the total number of coins by the fraction representing the number of nickels.

Number of nickels=420×240\text{Number of nickels} = \frac{4}{20} \times 240

Using a calculator or performing the multiplication manually, we get:

Number of nickels=48\text{Number of nickels} = 48

Step 3: Calculate the Number of Quarters

Now that we have calculated the number of pennies and nickels, we can determine the number of quarters. We subtract the number of pennies and nickels from the total number of coins.

Number of quarters=240−132−48\text{Number of quarters} = 240 - 132 - 48

Performing the subtraction, we get:

Number of quarters=60\text{Number of quarters} = 60

Conclusion

In this article, we used higher order thinking to solve a coin collection problem. We applied mathematical concepts to determine the number of quarters in Eric's collection. By following the steps outlined above, we were able to calculate the number of quarters as 60.

Real-World Applications

Higher order thinking problems like this one have real-world applications in various fields, such as finance, economics, and business. For example, understanding how to calculate the number of quarters in a collection can help individuals make informed decisions about their financial investments.

Tips for Solving Higher Order Thinking Problems

When solving higher order thinking problems, it is essential to:

  • Read the problem carefully: Understand the problem statement and identify the key information.
  • Break down the problem: Divide the problem into smaller, manageable parts.
  • Use mathematical concepts: Apply mathematical concepts and formulas to solve the problem.
  • Check your work: Verify your solution by checking your calculations and reasoning.

By following these tips, you can develop your higher order thinking skills and become proficient in solving complex mathematical problems.

Additional Resources

For additional resources and practice problems, visit the following websites:

Introduction

In our previous article, we explored a higher order thinking problem involving a coin collection. Eric has 240 coins in his collection, consisting of pennies, nickels, and quarters. We used mathematical reasoning to determine the number of quarters in Eric's collection. In this article, we will answer some frequently asked questions (FAQs) related to the problem.

Q&A

Q: What is the total number of coins in Eric's collection?

A: The total number of coins in Eric's collection is 240.

Q: What is the fraction of coins that are pennies?

A: The fraction of coins that are pennies is 1120\frac{11}{20}.

Q: What is the fraction of coins that are nickels?

A: The fraction of coins that are nickels is 420\frac{4}{20}.

Q: How many pennies are in Eric's collection?

A: To calculate the number of pennies, we multiply the total number of coins by the fraction representing the number of pennies.

Number of pennies=1120×240=132\text{Number of pennies} = \frac{11}{20} \times 240 = 132

Q: How many nickels are in Eric's collection?

A: To calculate the number of nickels, we multiply the total number of coins by the fraction representing the number of nickels.

Number of nickels=420×240=48\text{Number of nickels} = \frac{4}{20} \times 240 = 48

Q: How many quarters are in Eric's collection?

A: To calculate the number of quarters, we subtract the number of pennies and nickels from the total number of coins.

Number of quarters=240−132−48=60\text{Number of quarters} = 240 - 132 - 48 = 60

Q: What is the percentage of quarters in Eric's collection?

A: To calculate the percentage of quarters, we divide the number of quarters by the total number of coins and multiply by 100.

Percentage of quarters=60240×100=25%\text{Percentage of quarters} = \frac{60}{240} \times 100 = 25\%

Q: If Eric adds 20 more quarters to his collection, what will be the new total number of quarters?

A: To calculate the new total number of quarters, we add 20 to the original number of quarters.

New total number of quarters=60+20=80\text{New total number of quarters} = 60 + 20 = 80

Q: If Eric removes 10 pennies from his collection, what will be the new total number of pennies?

A: To calculate the new total number of pennies, we subtract 10 from the original number of pennies.

New total number of pennies=132−10=122\text{New total number of pennies} = 132 - 10 = 122

Conclusion

In this article, we answered some frequently asked questions related to the higher order thinking problem involving a coin collection. We provided step-by-step solutions to each question and explained the mathematical concepts used to solve the problems. By practicing and applying higher order thinking skills, you can become proficient in solving complex mathematical problems and develop a deeper understanding of mathematical concepts.

Real-World Applications

Higher order thinking problems like this one have real-world applications in various fields, such as finance, economics, and business. For example, understanding how to calculate the number of quarters in a collection can help individuals make informed decisions about their financial investments.

Tips for Solving Higher Order Thinking Problems

When solving higher order thinking problems, it is essential to:

  • Read the problem carefully: Understand the problem statement and identify the key information.
  • Break down the problem: Divide the problem into smaller, manageable parts.
  • Use mathematical concepts: Apply mathematical concepts and formulas to solve the problem.
  • Check your work: Verify your solution by checking your calculations and reasoning.

By following these tips, you can develop your higher order thinking skills and become proficient in solving complex mathematical problems.

Additional Resources

For additional resources and practice problems, visit the following websites:

By practicing and applying higher order thinking skills, you can become proficient in solving complex mathematical problems and develop a deeper understanding of mathematical concepts.