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Icin' the Tea (Posted on 2004-03-09) Difficulty: 1 of 5
This actually happened to me...

  My wife and I were cookin' a Cajun feast for the anniversaire de ma mere. While I handled the vittles, the lovely and talented Mrs. Boy made the drinks.
  She had made the tea strong and wanted to dilute it with 4 cups of water but the guests were at the door and the tea was still hot so she decided to dilute it with ice instead.
  She turned to me and said, "Fat, sweetie, how many ice cubes make a cup of water?"
  I confessed that I did not know as I had not measured the water when I made the cubes. To make matters worse I had not paid attention to how full I had made the trays so we couldn't just refill them and see how much they held.
  Things seemed desperate, as I'd die before I'd serve my Gumbo without sweet tea, but Mrs. Boy is no fool and she found a way. The tea was just right (though the cheese grits were a little burnt).

How did Mrs. B manage to ascertain the proper number of ice cubes to produce the 4 cups of water needed to dilute the tea? All she had to use was the ice cubes themselves, an ungraduated glass pitcher of unknown volume and the 4 cup graduated Pyrex measuring cup full of (too strong) tea.

See The Solution Submitted by FatBoy    
Rating: 3.3333 (6 votes)

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Why did almost everybody overcomplicate this ? | Comment 25 of 38 |
FatBoy said "I confessed that I did not know as I had not measured the water when I made the cubes." That clearly implies that he could measure a cup of water. So all his wife had to do was put one (just one) ice cube in some fluid and measure the fluid that was displaced. Archimedes showed long ago that this will be equal in weight to the ice cube. So if one ice cube displaced a cup of water, then one ice cube was equivalent in weight to one cup of water -- meaning that it WAS one cup of water. Nothing to it. No need to do all kinds of complicated repeated pourings. And there is no need to worry  about having the same volume of ice cubes as volume of water. The ice cubes equivalent to four cups of water, are the ice cubes that will have the effect of four cups of water, and that will be the ice cubes equivalent in weight to four cups of water. After melting, and discounting some insignificant evaporation, they will be equal to four cups of water in volume too.   

 

Edited on March 31, 2004, 9:20 pm
  Posted by Penny on 2004-03-31 21:14:47

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