document.write( "Question 814624: Hello,\r
\n" ); document.write( "\n" ); document.write( "My name is Traci and I am the mother of 7th grade pre-algebra student. She recently brought home a question and while I am usually able to help her with homework (after I re-learn how to do it myself), I am really stuck with this one. We have tried \"acting it out with colored water,\" ratios, fractions and scouring the internet, but I am still at a loss to wrap my brain around this question so that I may adequately explain it to my daughter and lead her to discovery the solution on her own. Any help will be much appreciated! \r
\n" ); document.write( "\n" ); document.write( "Here goes:\r
\n" ); document.write( "\n" ); document.write( "I have one large pitcher containing 1 quart of lemonade and a second large pitcher containing 1 quart of iced tea. I pour 1 pint of lemonade into the iced tea pitcher and thoroughly mix it, and then pour 1 pint of the mixture back into the lemonade pitcher. \r
\n" ); document.write( "\n" ); document.write( "1. Is there more iced tea in the lemonade or more lemonade in the iced tea? Justify mathematically.\r
\n" ); document.write( "\n" ); document.write( "2. If the process is repeated a second time, how many ounces of lemonade will be in the original iced tea pitcher?\r
\n" ); document.write( "\n" ); document.write( "3. Is it possible to make both mixtures into 1/2 lemonade and 1/2 iced tea, using the same process repeatedly? Why or why not? \r
\n" ); document.write( "\n" ); document.write( "Thanks in advance for any help on this one! \r
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Algebra.Com's Answer #490422 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "know as children we would mix two sodas \"back and forth\" from one glass to another 
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document.write( "thinking we both ended up with the same taste :) Good luck to You both.
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document.write( "Note:  1Qt = 2Pints
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document.write( "pitcher A - 1 quart of lemonade 
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document.write( "pitcher B - 1 quart of iced tea
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document.write( "pour 1 pint of lemonade into the iced tea pitcher B =  2:1
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document.write( "thoroughly mix it, and put 1 pint back into the lemonade pitcher. 
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document.write( "A = 1ptsL + [  2/3pts IT +1/3ptsL ]  
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document.write( "A =  2:1  and  B = 2:1
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document.write( "1. Is there more iced tea in the lemonade or more lemonade in the iced tea?  same
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document.write( "2. If the process is repeated a second time...
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document.write( "first  B = 4/3pts IT + 2/3 pts L +[2/3ptL + 1/3ptIT} =   5:4
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document.write( "and then 1Pt back..
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document.write( " A = 2/3ptL + 1/3ptIT + [5/9IT + 4/9 ptL ]
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document.write( "A =   5:4       B =    5:4
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