Solution to Fun with Fundamentals Puzzler: Taste Test

Fred and Frank, two of Manhattan's best table waiters, decided the time had come to launch out on their own. How much lemonade would they have needed to get the 12 oz of extract to the desired (15%) level? Here's the answer.
Oct. 1, 2006
Machinedesign Com Sites Machinedesign com Files Uploads 2014 01 291 Fundy Solution
Machinedesign Com Sites Machinedesign com Files Uploads 2014 01 291 Fundy Solution
In the puzzler, it was revealed that Wurme could only dig up a 12-oz bottle of 60% lemon extract and a pitcher of 7% (by volume) lemonade.

What was the final lemon concentration of the mixture if he added equal parts?

Also:  How much lemonade would he have needed to get the 12 oz of extract to the desired (15%) level?

The lemon concentration (see the worked-out solution on the left) is rc = 33.5%.

He would have needed 67.5 oz to get the extract to a drinkable level.

Want more puzzles? Email Elisabeth and let her know.

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About the Author

Elisabeth Eitel

Elisabeth Eitel was a Senior Editor at Machine Design magazine until 2014. She has a B.S. in Mechanical Engineering from Fenn College at Cleveland State University.

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