Mathematical Problem Solving: Chocolates Dilemma

In this article, we dive into a classic mathematical problem involving the distribution of chocolates among boys and girls. Let's break down the problem step by step to understand the solution clearly.

Problem Statement

Seventy-two chocolates were shared among 14 boys and 15 girls. Each boy received 3 chocolates. The question is, how many chocolates did each girl get?

Step-by-Step Solution

Let's begin by breaking down the problem:

Step 1: Calculate the Total Chocolates Taken by Boys

We know that there are 14 boys, and each boy received 3 chocolates. Therefore, the total number of chocolates taken by the boys is:

( 14 times 3 42 ) chocolates

Step 2: Calculate the Remaining Chocolates for Girls

Total chocolates available 72

Chocolates distributed to boys 42

Remaining chocolates for girls 72 - 42 30 chocolates

Step 3: Calculate the Number of Chocolates Each Girl Got

There are 15 girls, and the remaining chocolates are 30. Therefore, the number of chocolates each girl received is:

( frac{30}{15} 2 ) chocolates per girl

Thus, each girl received 2 chocolates.

Conclusion

Through this problem, we have demonstrated step-by-step how to approach and solve a distribution problem involving groups of different sizes. The key steps involved calculating the total chocolates distributed, determining the remaining chocolates, and then dividing those chocolates evenly among the individuals. Such problem-solving skills are essential in various fields, including mathematics, business, and more.

Additional Tips for Solving Distribution Problems

Here are a few additional tips that can help you solve distribution problems more efficiently:

Identify the total amount and the groups involved: Always start by identifying the total quantity and the groups that need to be distributed. Break down the problem into smaller parts: Solving problems in smaller parts can make them more manageable and reduce the chances of making mistakes. Pay close attention to the units of measurement: Ensure that you are working with the same units throughout the problem to maintain accuracy.

By practicing these steps, you can enhance your problem-solving skills and quickly solve distribution problems like the one discussed here.

Questions and Answers

Still have questions about the distribution problem? Let's address a few common questions to help clarify the solution:

Q: Can you provide another example of a distribution problem? A: Sure, let's consider another example. Suppose 50 candies are distributed among 10 boys and 15 girls, and each boy receives 2 candies. How many candies does each girl receive? Q: How does the solution change if each boy and girl can only receive an even number of chocolates? A: In that case, you would calculate the total chocolates received by the boys as 14 x 3 42, leaving 30 chocolates for the girls. Since only even numbers are allowed, we need to ensure the distribution is even. Each girl would receive 2 chocolates, maintaining the even distribution requirement.