Use Any Strategy 4) Twelve Coins - You have 12 identical-looking coins, one of which is counterfeit. The counterfeit coin is lighter than the rest; the other 11 coins weigh the same amount. The only scale available is a balance scale, on which you can weigh any number of coins against each other. Using the scale only three times, figure out a way to find the counterfeit coin.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Use Any Strategy

#### Twelve Coins

You have 12 identical-looking coins, one of which is counterfeit. The counterfeit coin is lighter than the rest; the other 11 coins weigh the same amount. The only scale available is a balance scale on which you can weigh any number of coins against each other. Using the scale only three times, figure out a way to find the counterfeit coin.

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Explanation: The text describes a classic problem where the goal is to determine which one of the twelve coins is counterfeit (and lighter) using a balance scale, with a limitation of only three weighings. 

No graphs or diagrams are provided.
Transcribed Image Text:--- ### Use Any Strategy #### Twelve Coins You have 12 identical-looking coins, one of which is counterfeit. The counterfeit coin is lighter than the rest; the other 11 coins weigh the same amount. The only scale available is a balance scale on which you can weigh any number of coins against each other. Using the scale only three times, figure out a way to find the counterfeit coin. --- Explanation: The text describes a classic problem where the goal is to determine which one of the twelve coins is counterfeit (and lighter) using a balance scale, with a limitation of only three weighings. No graphs or diagrams are provided.
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