document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103253>Question 1103253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tong and Phillip are working as counselors in a day camp for kids. One of their tasks is to prepare lemonade for snack break. In the camp's recipe box they find three recipes for making lemonade from concentrate: <BR>\n" );
document.write( "Recipe A: 2 cups concentrate 3 cups cold water <BR>\n" );
document.write( "Recipe B: 4 cups concentrate 8 cups cold water	<BR>\n" );
document.write( "Recipe C: 3 cups concentrate 5 cups cold water <BR>\n" );
document.write( "Which recipe will make juice that is the most lemony tasting? Explain in detail how you decided. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717947 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ratio of lemon concentrate to liquid for all of the options is shown below:\r<BR>\n" );
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document.write( "Recipe A: 2 cups concentrate 3 cups cold water = 2/3<BR>\n" );
document.write( "Recipe B: 4 cups concentrate 8 cups cold water = 4/8<BR>\n" );
document.write( "Recipe C: 3 cups concentrate 5 cups cold water = 3/5\r<BR>\n" );
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document.write( "you want to compare the ratios to see which one gives you the highest ratio of concentrate to water.\r<BR>\n" );
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document.write( "that one should taste the most lemony.\r<BR>\n" );
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document.write( "4/8 is 50%.<BR>\n" );
document.write( "3/5 is 60%.<BR>\n" );
document.write( "2/3 is 66.67%\r<BR>\n" );
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document.write( "recipe A has the highest ratio, therefore will probably taste the most lemony.\r<BR>\n" );
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document.write( "if you want to do it by fractions, then find the common denominator and compare them that way.\r<BR>\n" );
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document.write( "you should simplify the fractions first.\r<BR>\n" );
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document.write( "2/3 is already simplified.<BR>\n" );
document.write( "4/8 can be simplified to 1/2.<BR>\n" );
document.write( "3/5 is already simplified.\r<BR>\n" );
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document.write( "your common denominator should include factors of 2, 3, and 5.\r<BR>\n" );
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document.write( "a common denominator of 30 should do it.\r<BR>\n" );
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document.write( "2/3 * 1/10 = 20/30<BR>\n" );
document.write( "1/2 * 15/15 = 15/30<BR>\n" );
document.write( "3/5 * 6/6 = 18/30\r<BR>\n" );
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document.write( "the one with the most concentrate per volume of mixture is recipe A.\r<BR>\n" );
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document.write( "you did it by ratio of concentrate to water.\r<BR>\n" );
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document.write( "you can also do it by percentage of concentrate in the mixture.\r<BR>\n" );
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document.write( "2 cups concentrate and 3 cups water = 5 cups mixture, of which 2 cups is concentrate.\r<BR>\n" );
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document.write( "ratio of concentrate to mixture is 2/5 = 40%\r<BR>\n" );
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document.write( "4 cups concentrate and 8 cups water = 12 cups mixture, of which 4 cups is concentrate.\r<BR>\n" );
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document.write( "ratio of concentrate to mixture is 4/12 = 1/3 = 33.33%.\r<BR>\n" );
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document.write( "3 cups concentrate and 5 cups water = 8 cups mixture, of which 3 cups is concentrate.\r<BR>\n" );
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document.write( "ratio of concentrate to mixture is 3/8 = 37.5%.\r<BR>\n" );
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document.write( "recipe A is still the winner since it has a higher ratio of concentrate to total mixture.\r<BR>\n" );
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document.write( "as such, it should taste more lemony than the others.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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