Dividing Money Among Rio, Kim, and Leo in a Given Ratio

Dividing Money Among Rio, Kim, and Leo in a Given Ratio

In this article, we will explore how to calculate the total amount of money when it is divided among Rio, Kim, and Leo in the ratio 5:7:3, based on the information that Leo's share is Rs. 24,000.00. This example will help us understand the principles of handling ratios and calculating totals effectively.

Ratios and Proportions

When a certain amount of money is divided among multiple individuals in a given ratio, each person's share can be calculated using proportional reasoning. Here, the total ratio is the sum of the parts, i.e., 5 7 3 15.

Step-by-Step Calculation

Identify the Ratio and Given Value: The ratio of the money distribution is 5:7:3, and Leo's share is Rs. 24,000.00. Determine the Value of One Part: Since Leo's share is represented by 3 parts of the ratio, we can write it as 3x 24000. Solving for x, we get x 24000 / 3 8000. Calculate Rio and Kim's Shares: Rio's share is 5 parts, so 5x 5 * 8000 Rs. 40,000.00. Kim's share is 7 parts, so 7x 7 * 8000 Rs. 56,000.00. Calculate the Total Amount:

The total amount is the sum of all shares, which equals 15 parts (5x 7x 3x 15x).

Therefore, the total amount 15x 15 * 8000 Rs. 120,000.00.

Alternative Methods to Calculate the Total Amount

There are several ways to calculate the total amount depending on your preference and the context. Here are a few additional methods:

Direct Multiplication: Using the ratio and the value of Leo's share (3x), you can multiply 24,000 by the total ratio (5 7 3) / 3 to get the total amount. Divide and Multiply: First, divide the given value by the ratio part (24,000 / 3 8,000), then multiply by the total parts (15*8,000 120,000). Multiply by a Constant: If you multiply the entire ratio by a constant to get a new ratio, such as 40:56:24, and know that Leo's share in the new ratio is 24,000, you can determine the constant and calculate the total amount.

Conclusion

By understanding and applying the principles of ratio and proportion, we can effectively determine the total amount of money distributed among Rio, Kim, and Leo. This type of problem-solving is not only useful in mathematics but also in various real-world scenarios, such as financial planning and resource allocation.

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