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Chapter 7: Problem 54

A bartender has a three-pint glass and a five-pint glass. A customer walks in and orders four pints of beer. Without a measuring cup but with an unlimited supply of beer how does he get a single pint in either glass?

Short Answer

Expert verified
Answer: The bartender can measure 4 pints of beer by following these steps: First, fill the three-pint glass completely and pour it into the five-pint glass. Then, refill the three-pint glass and carefully pour it into the five-pint glass until the five-pint glass is full. This will leave one pint of beer in the three-pint glass. Finally, empty the five-pint glass and pour the one pint from the three-pint glass into the five-pint glass. Fill the three-pint glass again and pour it into the five-pint glass with the one pint already there, resulting in a total of four pints in the five-pint glass.

Step by step solution

01

Fill the three-pint glass

Fill the three-pint glass completely with beer.
02

Pour the three-pint glass into the five-pint glass

Carefully pour the contents of the three-pint glass into the five-pint glass, filling it with three pints of beer.
03

Refill the three-pint glass

Fill the three-pint glass again with beer.
04

Pour the beer from the three-pint glass into the five-pint glass

Pour the beer from the three-pint glass into the five-pint glass until the five-pint glass is full. Since the five-pint glass already has three pints of beer in it, it only has room for two more pints. Therefore, after pouring two pints from the three-pint glass, there will be one pint left in the three-pint glass. Now, the bartender has successfully measured one pint of beer in the three-pint glass.

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