Introduction

Mangoes are a popular and versatile fruit enjoyed by many worldwide. In this article, we explore a word problem that revolves around Pete and his 32 mangoes. The problem presents a situation where the information provided is clear, but the interpretation can be complex. Understanding the nuances of such problems can enhance your problem-solving skills and improve your ability to handle ambiguous or multi-layered questions. Let's dive into the details and solve this intriguing problem step by step.

Understanding the Problem: Pete's Mangoes

Pete picked 32 mangoes. He sold 3/4 of them and the rest to his mother. The question asks how many mangoes Pete gave his mother. However, the question itself is not clear about whether Pete sold or gave the rest to his mother. This article will clarify the ambiguity and provide a logical solution.

Step-by-Step Analysis

Step 1: Calculate the Number of Mangoes Sold

We start by calculating the number of mangoes Pete sold. Pete sold 3/4 of the total 32 mangoes.

Calculation:

3/4 of 32 mangoes (3/4 * 32) 24 mangoes

Step 2: Determine the Number of Mangoes Given to His Mother

The problem states that Pete sold the rest to his mother. To find the number of mangoes Pete sold to his mother, we need to subtract the number of mangoes he sold from the total number of mangoes he picked.

Calculation:

32 mangoes - 24 mangoes 8 mangoes

Therefore, Pete sold 8 mangoes to his mother.

Common Misinterpretations and Clarifications

Misinterpretation 1: Pete Gave Some Mangoes to His Mother

It is often assumed that Pete might have given some mangoes to his mother, but the problem clearly states that he sold the rest to his mother. Hence, the phrase "gave to his mother" is not applicable here.

Misinterpretation 2: Logical Conditions

The phrase "the rest to his mother" is a part of a condition that states he sold 3/4 of the mangoes, and the rest were sold to his mother. Both conditions must hold for this to be a valid problem. It is not valid to assume he gave the rest as there is no indication he did so.

Conclusion

In conclusion, Pete sold 24 mangoes and the rest (8 mangoes) to his mother. The problem clearly states that he sold the remaining mangoes to her, not that he gave them. Understanding such word problems is crucial for developing strong analytical and logical reasoning skills. Whether you are a student, a teacher, or a professional, mastering these skills can significantly improve your problem-solving abilities.