Solving a Logical Fruit Problem: How Many Bananas Will Be Left With You?

This intriguing problem involves a common logic puzzle where we need to figure out how many bananas are left after distributing a portion to different people. Let's break it down step by step to ensure a clear understanding of the solution.

Understanding the Problem

You are given 12 bananas. The challenge is to determine how many bananas are left with you after giving some to your sister and your youngest brother. The fractions involved make this a classic example of a logical reasoning and arithmetic problem.

Step-by-Step Breakdown

Total Bananas: 12

Bananas given to your sister:

First, calculate 1/3 of 12:

1/3 times 12 4 bananas

Bananas given to your youngest brother:

Next, calculate 1/2 of 12:

1/2 times 12 6 bananas

Total Bananas Given Away: 4 (to sister) 6 (to brother) 10 bananas

Bananas left with you: 12 - 10 2 bananas

The Solution

According to the given arithmetic and logical steps, you will have 2 bananas left with you. This is the final and correct answer. Here's a summary:

1/3 of 12 bananas is 4 1/2 of 12 bananas is 6 4 (to sister) 6 (to brother) 10 12 - 10 2

Some alternative interpretations of the problem might lead to different conclusions, but based on the straightforward distribution mentioned in the problem, the remaining number of bananas is 2.

Lowest Common Denominator Approach

Another common method involves finding the lowest common denominator. Convert 1/3 and 1/2 to a common denominator of 6:

1/3 2/6 1/2 3/6 2/6 3/6 5/6 1 - 5/6 1/6 1/6 of 12 bananas 2 bananas

Using this method, you are left with 2 bananas.

Alternatively, you can also represent the fractions as a simpler form:

1/3 of 12 bananas is 4 1/2 of 8 bananas (after giving 4 to sister) is 4 Total given away: 4 4 (or 6 originally) 10 12 - 10 2

Conclusion

The logical fruit problem involving 12 bananas is a perfect exercise for enhancing your problem-solving skills in arithmetic and logical reasoning. By breaking it down into simple steps, we can easily find the solution. In this case, the final number of bananas left is:

2 bananas