Percentage Distribution of Shares Among Three Friends

Three friends, Ahmet, Jo, and Anna, share a total of 180 units of money. We can break down the distribution among them and explore how to calculate the percentage each person receives. This article aims to solve the problem and explain the mathematical concepts behind it.

Sharing the Money

The total amount of money is 180 units. Ahmet receives 54 units, Jo gets 81 units, and Anna receives the rest.

Step-by-Step Calculation

Step A: Determine the Amount Received by Anna

To find out how much Anna receives:

Total amount: 180 units

Ahmet's amount: 54 units

Jo's amount: 81 units

B. Calculate 54 81 135

C. 180 - 135 45 (Anna's amount)

Expressing Percentages

A. Calculate the percentage of the total amount each person receives by dividing the amount by the total and then multiplying by 100.

A. Ahmet: 54/180 × 100 30%

B. Jo: 81/180 × 100 45%

C. Anna: 45/180 × 100 25%

Verification

Finally, we can verify the percentages to ensure they sum up to 100%.

Ahmet: 30% Jo: 45% Anna: 25% 100%

Final Distribution

The friends' percentages of the total amount are as follows:

Mathematical Problem Solving

This problem involves basic mathematical operations and the concept of percentages. Here’s a step-by-step breakdown of the calculations involved:

A. Total 54 (Ahmet) 81 (Jo) 45 (Anna).

B. Check: 54 81 135.

C. 180 - 135 45 (Anna's amount).

D. Ahmet 54/180 6/20 3/10 30%.

E. Jo 81/180 9/20 45%.

F. Anna 45/180 5/20 1/4 25%.

Conclusion

This problem demonstrates the application of percentages in real-world scenarios. Understanding how to calculate percentages is essential in various fields such as finance, business, and economics. By practicing similar problems, one can enhance their problem-solving skills in mathematics.