Math Problem Statement
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:
- 2
- 3
- 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:
- 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
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