Total Amount Contributed by Each Individual

Oct 13, 2025 by vinooalluri.com 72 views

Introduction

In this article, we will delve into a mathematical puzzle involving three individuals, Odawa, Mliwa, and Amina, who collectively contributed money to purchase a flour mill. The puzzle presents a series of fractions that must be calculated to determine the total amount contributed by each individual. We will break down the problem step by step, using mathematical concepts to arrive at a solution.

The Problem

Odawa contributed $\frac{1}{3}$ of the total amount, Mliwa contributed $\frac{3}{8}$ of the remaining amount, and Amina contributed the rest of the amount. We need to find the total amount contributed by each individual.

Step 1: Calculate the Amount Contributed by Odawa

Let's assume the total amount contributed by all three individuals is $x$ . Since Odawa contributed $\frac{1}{3}$ of the total amount, the amount contributed by Odawa is $\frac{1}{3}x$ .

# Define the variable x
x = 1  # Assuming x is 1 for simplicity
odawa_amount = (1/3) * x
print(f"Odawa contributed {odawa_amount} of the total amount.")

Step 2: Calculate the Remaining Amount

After Odawa's contribution, the remaining amount is $x - \frac{1}{3}x = \frac{2}{3}x$ .

# Calculate the remaining amount
remaining_amount = x - odawa_amount
print(f"The remaining amount is {remaining_amount}.")

Step 3: Calculate the Amount Contributed by Mliwa

Mliwa contributed $\frac{3}{8}$ of the remaining amount, which is $\frac{3}{8} \times \frac{2}{3}x = \frac{1}{4}x$ .

# Calculate the amount contributed by Mliwa
mliwa_amount = (3/8) * remaining_amount
print(f"Mliwa contributed {mliwa_amount} of the remaining amount.")

Step 4: Calculate the Amount Contributed by Amina

Amina contributed the rest of the amount, which is $x - \frac{1}{3}x - \frac{1}{4}x = \frac{1}{12}x$ .

# Calculate the amount contributed by Amina
amina_amount = x - odawa_amount - mliwa_amount
print(f"Amina contributed {amina_amount} of the remaining amount.")

Conclusion

In conclusion, the total amount contributed by Odawa is $\frac{1}{3}x$ , the amount contributed by Mliwa is $\frac{1}{4}x$ , and the amount contributed by Amina is $\frac{1}{12}x$ . We can now calculate the total amount contributed by each individual.

Total Amount Contributed by Each Individual

The total amount contributed by Odawa is $\frac{1}{3}x$ , the total amount contributed by Mliwa is $\frac{1}{4}x$ , and the total amount contributed by Amina is $\frac{1}{12}x$ .

# Calculate the total amount contributed by each individual
total_odawa = odawa_amount
total_mliwa = mliwa_amount
total_amina = amina_amount
print(f"Total amount contributed by Odawa: {total_odawa}")
print(f"Total amount contributed by Mliwa: {total_mliwa}")
print(f"Total amount contributed by Amina: {total_amina}")

Final Answer

The final answer is $\boxed{\frac{1}{3}x, \frac{1}{4}x, \frac{1}{12}x}$ .

Mathematical Concepts Used

This problem involves the following mathematical concepts:

Fractions: We used fractions to represent the amounts contributed by each individual.
Algebra: We used algebraic expressions to represent the amounts contributed by each individual.
Calculations: We performed calculations to determine the total amount contributed by each individual.

Real-World Applications

This problem has real-world applications in finance, economics, and business. For example, in a business setting, this problem can be used to determine the total amount contributed by each partner or investor in a business venture.

Conclusion

Introduction

In our previous article, we delved into a mathematical puzzle involving three individuals, Odawa, Mliwa, and Amina, who collectively contributed money to purchase a flour mill. We broke down the problem step by step, using mathematical concepts to arrive at a solution. In this article, we will answer some frequently asked questions (FAQs) related to the problem.

Q&A

Q: What is the total amount contributed by Odawa?

A: The total amount contributed by Odawa is $\frac{1}{3}x$ , where $x$ is the total amount contributed by all three individuals.

Q: What is the remaining amount after Odawa's contribution?

A: The remaining amount after Odawa's contribution is $\frac{2}{3}x$ .

Q: What is the amount contributed by Mliwa?

A: The amount contributed by Mliwa is $\frac{3}{8} \times \frac{2}{3}x = \frac{1}{4}x$ .

Q: What is the amount contributed by Amina?

A: The amount contributed by Amina is $\frac{1}{12}x$ .

Q: How do we calculate the total amount contributed by each individual?

A: We can calculate the total amount contributed by each individual by adding their individual contributions. For example, the total amount contributed by Odawa is $\frac{1}{3}x$ , the total amount contributed by Mliwa is $\frac{1}{4}x$ , and the total amount contributed by Amina is $\frac{1}{12}x$ .

Q: What are the real-world applications of this problem?

A: This problem has real-world applications in finance, economics, and business. For example, in a business setting, this problem can be used to determine the total amount contributed by each partner or investor in a business venture.

Q: What mathematical concepts are used in this problem?

A: This problem involves the following mathematical concepts:

Fractions: We used fractions to represent the amounts contributed by each individual.
Algebra: We used algebraic expressions to represent the amounts contributed by each individual.
Calculations: We performed calculations to determine the total amount contributed by each individual.

Q: Can this problem be solved using other mathematical concepts?

A: Yes, this problem can be solved using other mathematical concepts such as geometry or trigonometry. However, the most straightforward solution involves the use of fractions and algebra.

Q: How can I apply this problem to real-world scenarios?

A: You can apply this problem to real-world scenarios by substituting the variables with real-world values. For example, if you are a business owner and you want to determine the total amount contributed by each partner, you can substitute the variables with the actual amounts contributed by each partner.

Conclusion

In conclusion, this problem involves a series of fractions that must be calculated to determine the total amount contributed by each individual. We answered some frequently asked questions related to the problem, including the total amount contributed by each individual, the remaining amount after Odawa's contribution, and the real-world applications of the problem. We also discussed the mathematical concepts used in the problem and how it can be applied to real-world scenarios.

Additional Resources

For more information on this problem and related topics, please refer to the following resources:

Mathematical Concepts Used in the Problem
Real-World Applications of the Problem
Additional Resources

Mathematical Concepts Used

This problem involves the following mathematical concepts:

Fractions: We used fractions to represent the amounts contributed by each individual.
Algebra: We used algebraic expressions to represent the amounts contributed by each individual.
Calculations: We performed calculations to determine the total amount contributed by each individual.

Real-World Applications

Additional Resources

For more information on this problem and related topics, please refer to the following resources:

Mathematical Concepts Used in the Problem
Real-World Applications of the Problem
Additional Resources