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84 lines
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84 lines
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<h1 class="puzTitle">Lemonink Puzzle - Solution</h1><div class="puzPuzzle"><h2>The Puzzle:</h2><div class="puzText"><div class="puzThumb"><a href="measuring-puzzles-index.html"><img src="images/blank.svg" width="" height="" alt="Lemonink" style="border-style: none" /></a></div>I have two glasses the same size. One contains 100 ml of lemonade and the other contains 100 ml of ink.<br />
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<br />
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<img src="images/b-lemonink.gif" /><br />
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<br />
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I take a spoonful of lemonade and stir it into the ink, and then take a spoonful of that mixture and stir it back into the lemonade. <br />
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Which glass now contains least of the contents of the other one?<br />
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</div></div><div class="puzSep"></div><div class="puzSoln"><h2>Our Solution:</h3><div class="puzSolnText">The actual answer was that BOTH glasses contain the same amount of the other liquid in them. <br />
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<br />
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Each glass ends up with 100ml of liquid in it, as before, but the first glass (lemonade) has some of the lemonade replaced by ink, and this bit of lemonade can be found in the second glass (ink) where it is replacing the same amount of ink. Gettit?<br />
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<br />
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<br />
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For those who doubt this, imagine you transfer 25ml each time. We will use [100,0] to mean "100ml of Lemonade, 0ml of Ink":<br />
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Start: [100,0], [0,100]<br />
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Transfer 25ml: [75,0], [25,100]<br />
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Mix, and take 25ml from 2nd glass, which is currently 25/125ths, or 1/5th, Lemonade<br />
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Transfer [5, 20] back: [80, 20], [20, 80]</div></div><div class="puzAuthor">Puzzle Author: Stephen Froggatt<br /><br /></div><div class="puzSolnFtr">See this puzzle <a href="lemonink.html">without solution</a><br />Discuss this puzzle at the <a href="http://www.mathisfunforum.com/index.php">Math is Fun Forum</a></div><div class="related"><a href="measuring-puzzles-index.html">Measuring Puzzles</a><a href="index.html">Puzzles Index</a></div><!-- #EndEditable --></div>
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