Understanding the Math Problem: Johnathan's Money Distribution

When dealing with math problems, especially those that involve distribution and calculation of remaining amounts, it's crucial to understand each step clearly. In this article, we will break down a specific problem involving Johnathan and his distribution of money to friends, Marc, and Maria. We'll explore the problem from multiple angles to ensure clarity and ensure it aligns with the Google SEO standards.

Problem Statement

The problem at hand is as follows: If Johnathan has 20 dollars and he first gives 8 dollars to Marc, and then gives Maria half of his remaining money, how much money does Johnathan have left?

Step-by-Step Solution

Step 1: Initial Amount and First Distribution

Selecting the most straightforward and clear approach, we start by establishing the initial amount and the first distribution:

Johnathan starts with 20 dollars. Johnathan gives 8 dollars to Marc.

Thus, Johnathan's remaining money after giving 8 to Marc is:

20 - 8 12 dollars

Next, Johnathan gives half of his remaining money to Maria.

Step 2: Second Distribution

To calculate the exact amount given to Maria, we take half of Johnathan's remaining 12 dollars:

12 / 2 6 dollars

Therefore, Maria receives 6 dollars.

Step 3: Final Amount

To find out how much money Johnathan has left, we subtract the total amount given to Marc and Maria from his initial amount:

Remaining money 20 - (8 6) 20 - 14 6 dollars

Alternative Approaches and Verifications

Alternative Approach 1

Another way to approach the problem is by focusing on the direct subtraction and calculation of remaining amounts:

Total initial amount: 20 dollars. Subtract the amount given to Marc: 20 - 8 12 dollars. Subtract half the remaining amount given to Maria: 12 - (12 / 2) 12 - 6 6 dollars.

This also confirms that Johnathan has 6 dollars left.

Alternative Approach 2

Another method involves a step-by-step breakdown of each transaction:

Total initial amount: 20 dollars. John gives 8 dollars to Marc: 20 - 8 12 dollars. John then gives 1/2 of his remaining money to Maria: 12 / 2 6 dollars. John's remaining amount: 12 - 6 6 dollars.

Both approaches yield the same result, ensuring the accuracy of the solution.

Conclusion

In conclusion, when Johnathan initially has 20 dollars, after giving 8 dollars to Marc and an additional 6 dollars to Maria, he is left with 6 dollars. This calculation is straightforward and ensures clarity in understanding problem-solving involving money distribution.

For further questions and more detailed explanations, feel free to reach out. Happy learning!

Saloni.