Calculating the Total Number of Cards

Oct 13, 2025 by miodeya.com 92 views

Introduction

In this article, we will embark on a mathematical journey to solve a mystery involving two friends, Joaquim and Lisa. Joaquim has a collection of 49 cards, while Lisa has 11 cards less than Joaquim. Our goal is to calculate the total number of cards they have together. We will use mathematical concepts and techniques to unravel the mystery and arrive at the correct answer.

The Problem

Joaquim has 49 cards in his collection. Lisa has 11 cards less than Joaquim. To find the total number of cards they have together, we need to add the number of cards Joaquim has to the number of cards Lisa has.

Calculating Lisa's Cards

Since Lisa has 11 cards less than Joaquim, we can calculate the number of cards Lisa has by subtracting 11 from Joaquim's total.

Lisa's cards = Joaquim's cards - 11
Lisa's cards = 49 - 11
Lisa's cards = 38

Calculating the Total Number of Cards

Now that we know the number of cards Joaquim and Lisa have, we can add them together to find the total number of cards they have.

Total cards = Joaquim's cards + Lisa's cards
Total cards = 49 + 38
Total cards = 87

Conclusion

In this article, we used mathematical concepts and techniques to solve a mystery involving two friends, Joaquim and Lisa. We calculated the number of cards Lisa has by subtracting 11 from Joaquim's total, and then added the number of cards Joaquim and Lisa have to find the total number of cards they have together. The answer is 87.

Real-World Applications

This problem may seem simple, but it has real-world applications in various fields such as finance, inventory management, and data analysis. For example, in finance, calculating the total value of assets or liabilities is crucial for making informed investment decisions. In inventory management, calculating the total number of items in stock is essential for ensuring that products are available to meet customer demand.

Tips and Tricks

When solving problems involving subtraction and addition, it's essential to follow the order of operations (PEMDAS):

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

By following the order of operations, you can ensure that your calculations are accurate and reliable.

Common Mistakes to Avoid

When solving problems involving subtraction and addition, it's easy to make mistakes. Here are some common mistakes to avoid:

Not following the order of operations (PEMDAS)
Not evaluating expressions inside parentheses first
Not evaluating exponential expressions next
Not evaluating multiplication and division operations from left to right
Not evaluating addition and subtraction operations from left to right

By avoiding these common mistakes, you can ensure that your calculations are accurate and reliable.

Conclusion

Introduction

In our previous article, we solved a mystery involving two friends, Joaquim and Lisa, using mathematical concepts and techniques. We calculated the number of cards Lisa has by subtracting 11 from Joaquim's total, and then added the number of cards Joaquim and Lisa have to find the total number of cards they have together. The answer is 87. In this article, we will answer some frequently asked questions related to the problem.

Q&A

Q: What is the total number of cards Joaquim and Lisa have together?

A: The total number of cards Joaquim and Lisa have together is 87.

Q: How many cards does Lisa have?

A: Lisa has 38 cards.

Q: How many cards does Joaquim have?

A: Joaquim has 49 cards.

Q: What is the difference between the number of cards Joaquim and Lisa have?

A: The difference between the number of cards Joaquim and Lisa have is 11.

Q: Can you explain the order of operations (PEMDAS) in more detail?

A: Yes, the order of operations (PEMDAS) is a set of rules that tells you which operations to perform first when you have multiple operations in an expression. The order of operations is:

Parentheses: Evaluate expressions inside parentheses first.
Exponents: Evaluate any exponential expressions next.
Multiplication and Division: Evaluate multiplication and division operations from left to right.
Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: What are some common mistakes to avoid when solving problems involving subtraction and addition?

A: Some common mistakes to avoid when solving problems involving subtraction and addition include:

Not following the order of operations (PEMDAS)
Not evaluating expressions inside parentheses first
Not evaluating exponential expressions next
Not evaluating multiplication and division operations from left to right
Not evaluating addition and subtraction operations from left to right

Q: Can you provide more examples of real-world applications of subtraction and addition?

A: Yes, here are some examples of real-world applications of subtraction and addition:

Calculating the total cost of items in a shopping cart
Determining the number of items in stock
Calculating the total value of assets or liabilities
Determining the number of people in a room or building

Q: How can I practice my subtraction and addition skills?

A: There are many ways to practice your subtraction and addition skills, including:

Using online math games and activities
Practicing with flashcards or worksheets
Working with a tutor or teacher
Using real-world examples and applications

Conclusion

In this article, we answered some frequently asked questions related to the problem of calculating the total number of cards Joaquim and Lisa have together. We also discussed the order of operations (PEMDAS), common mistakes to avoid, and real-world applications of subtraction and addition. We hope this article has been helpful in clarifying any questions you may have had.

Additional Resources

For more information on subtraction and addition, including practice problems and real-world applications, please visit the following resources:

Final Thoughts

We hope this article has been helpful in solving the mystery of the missing cards and providing you with a better understanding of subtraction and addition. Remember to practice your skills regularly and to use real-world examples and applications to help you understand the concepts. Good luck!