Calculating the Number of Marbles Each Person Receives

Oct 13, 2025 by miodeya.com 100 views

Introduction

In this article, we will explore a mathematical problem where 721 marbles are divided between two individuals, Raju and Monu, in the ratio of 4:3. We will use mathematical concepts and formulas to find the number of marbles each person receives.

Understanding the Problem

The problem states that 721 marbles are to be divided between Raju and Monu in the ratio of 4:3. This means that for every 4 marbles Raju receives, Monu receives 3 marbles. We need to find the number of marbles each person receives.

Step 1: Find the Total Number of Parts

To solve this problem, we need to find the total number of parts in the ratio. The ratio is 4:3, which means there are 4 + 3 = 7 parts in total.

Step 2: Divide the Total Number of Marbles by the Total Number of Parts

Now, we need to divide the total number of marbles (721) by the total number of parts (7) to find the value of each part.

total_marbles = 721
total_parts = 7
value_per_part = total_marbles / total_parts
print(value_per_part)

Step 3: Find the Number of Marbles Raju Receives

Since Raju's share is 4 parts, we need to multiply the value of each part by 4 to find the number of marbles Raju receives.

raju_share = 4 * value_per_part
print(raju_share)

Step 4: Find the Number of Marbles Monu Receives

Similarly, since Monu's share is 3 parts, we need to multiply the value of each part by 3 to find the number of marbles Monu receives.

monu_share = 3 * value_per_part
print(monu_share)

Calculating the Number of Marbles Each Person Receives

Now, let's calculate the number of marbles each person receives.

# Import necessary modules
import math

# Define variables
total_marbles = 721
ratio_raju = 4
ratio_monu = 3

# Calculate the total number of parts
total_parts = ratio_raju + ratio_monu

# Calculate the value of each part
value_per_part = total_marbles / total_parts

# Calculate the number of marbles Raju receives
raju_share = ratio_raju * value_per_part

# Calculate the number of marbles Monu receives
monu_share = ratio_monu * value_per_part

# Print the results
print("Raju receives", raju_share, "marbles.")
print("Monu receives", monu_share, "marbles.")

Conclusion

In this article, we used mathematical concepts and formulas to divide 721 marbles between Raju and Monu in the ratio of 4:3. We found that Raju receives 304 marbles and Monu receives 217 marbles.

Mathematical Formulas Used

Total number of parts = ratio of Raju + ratio of Monu
Value of each part = total number of marbles / total number of parts
Number of marbles Raju receives = ratio of Raju * value of each part
Number of marbles Monu receives = ratio of Monu * value of each part

Real-World Applications

This problem can be applied to real-world scenarios where resources need to be divided among individuals or groups in a specific ratio. For example, in a business, profits may be divided among shareholders in a specific ratio, or in a family, inheritance may be divided among family members in a specific ratio.

Tips and Variations

To make this problem more challenging, you can increase the number of parts in the ratio or add more individuals to divide the marbles among.
To make this problem easier, you can use a simpler ratio, such as 1:1 or 2:1.
You can also use this problem to teach children about ratios and proportions in a fun and interactive way.

Frequently Asked Questions

Q: What is the ratio of marbles Raju and Monu receive? A: The ratio of marbles Raju and Monu receive is 4:3.
Q: How many marbles are there in total? A: There are 721 marbles in total.
Q: How many marbles does Raju receive? A: Raju receives 304 marbles.
Q: How many marbles does Monu receive? A: Monu receives 217 marbles.