Fruiterer's Mango Selling Puzzle: A Detailed Analysis

Imagine a scenario where a retailer, or rather a fruiterer, starts with a certain number of mangoes and then sells a fraction of them. How would one solve the mathematical puzzle of determining how many mangoes remain after such a transaction? Let's explore a real example involving 750 mangoes and a fraction of them sold.

Solving the Puzzle

The fruiterer has 750 mangoes initially. He sells two-thirds (2/3) of them. To find out how many mangoes he has left, we need to use a bit of arithmetic. Let's break down the calculations:

Step 1: Determine the number of mangoes sold.
We know that the fruiterer sells two-thirds of the mangoes. So, we calculate: Step 2: Calculate the remaining mangoes.
Subtract the number sold from the initial count:

Mangoes_left Initial_mangoes - Mangoes_sold

1. Calculation of Mangoes Sold

Mangoes_sold 750 (frac{2}{3}) 500

2. Calculation of Mangoes Left

Mangoes_left 750 - 500 250

Mangoes_left 250

Alternative Methods

Let's also explore alternative methods to arrive at the same conclusion:

Alternative Method 1:
Step 1: Find the fraction of mangoes left, which is the remaining one-third (1/3) of the total mangoes.

Mangoes_left 750 (frac{1}{3}) 250

Alternative Method 2:
Step 1: Use ratios to find the number of mangoes left directly. Since 2/3 are sold, 1/3 is left.

Mangoes_left 750 (frac{1}{3}) 250

Mathematical Concepts Involved

This problem involves several mathematical concepts:

Fractions: Understanding how fractions represent parts of a whole is crucial. Proportions: The concept of ratios (2:3) played a role in solving the problem. Arithmetic Operations: Multiplication and subtraction were used to find the solution.

The fruiterer starts with 750 mangoes and sells two-thirds of them, leaving him with 250 mangoes. This method can be applied to similar problems involving fractions and proportions in real-life scenarios.

Conclusion

In summary, a fruiterer starting with 750 mangoes and selling two-thirds of them results in 250 mangoes remaining. The problem can be solved through different methods, each offering insights into fractions, proportions, and basic arithmetic.

Keywords

For optimization purposes, use the following keywords:

Mangoes: The subject of the problem. Fraction Selling: The core concept of the problem. Math Problem Solutions: Refers to the various methods used in solving the puzzle.