Math Problem Statement

جواب صحیح کدام گزینه است

جواب صحیح کدام گزینه است

Solution

The image contains a math question in Persian. It roughly translates to:

"A bag contains a set of 5 coins, among which 1 coin is real and the other 4 are counterfeit, and the counterfeit coins are lighter than the real one. What is the minimum number of weighings required to find the real coin using a balance scale?"

Options:

  1. 2
  2. 3
  3. 4
  4. 1

Solution:

To solve this, we need to think about the strategy of using a balance scale to identify the single real coin among 5 coins, where the fake coins are all lighter.

Step-by-step approach:

  1. First Weighing: Divide the 5 coins into two groups: one group of 2 coins and another group of 2 coins, leaving 1 coin aside.
    • If

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Logic
Probability

Formulas

-

Theorems

Balance scale theorem

Suitable Grade Level

Grades 6-8