document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997311>Question 997311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A milkman ordered his assistant to first remove 3 liters out og he 8 liters of a solution of milk and water and then add 3 liters of water to it.Thinking that it would not make any difference , the lab assistant first added 3 liters of water and then removed 3 liters of the solution. Find the ratio of the expected concentration of the milk to actual concentration of the milk? <BR>\n" );
document.write( "1)1:1 2)21:52 3)55:64 4)605:512 5)5:11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615473 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FOLLOWING INSTRUCTIONS:<BR>\n" );
document.write( "Removing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters leaves <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-3=5 ALIGN=MIDDLE  ALT=\"8-3=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters.<BR>\n" );
document.write( "If the solution water content was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters if water per liter of original solution,<BR>\n" );
document.write( "those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of solution now contain<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x ALIGN=MIDDLE  ALT=\"5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of water, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-5x=5%281-x%29 ALIGN=MIDDLE  ALT=\"5-5x=5%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of milk.<BR>\n" );
document.write( "Adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >liters of water, you end up with a total of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2B3=8 ALIGN=MIDDLE  ALT=\"5%2B3=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of new, diluted solution, containing<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-5x=5%281-x%29 ALIGN=MIDDLE  ALT=\"5-5x=5%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of milk.<BR>\n" );
document.write( "The expected milk concentration (as a volume/volume fraction) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%281-x%29%2F8 ALIGN=MIDDLE  ALT=\"5%281-x%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "THE WAY THE ASSISTANT DID IT:<BR>\n" );
document.write( "If the solution water content was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters if water per liter of original solution,<BR>\n" );
document.write( "in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of original milk solution there was initially<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x ALIGN=MIDDLE  ALT=\"8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of water, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-8x=8%281-x%29 ALIGN=MIDDLE  ALT=\"8-8x=8%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of the milk.<BR>\n" );
document.write( "After adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of water, the resulting solution had a volume of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B3=11 ALIGN=MIDDLE  ALT=\"8%2B3=11\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of waters, containing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8-8x=8%281-x%29 ALIGN=MIDDLE  ALT=\"8-8x=8%281-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of the milk.<BR>\n" );
document.write( "The resulting milk concentration (as a volume/volume fraction) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%281-x%29%2F11 ALIGN=MIDDLE  ALT=\"8%281-x%29%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and does not change on removing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > liters of solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The ratio of expected concentration of the milk to actual concentration of the milk is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%281-x%29%2F8 ALIGN=MIDDLE  ALT=\"5%281-x%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%3A%22 ALIGN=MIDDLE  ALT=\"%22%3A%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%281-x%29%2F11 ALIGN=MIDDLE  ALT=\"8%281-x%29%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%3A%22 ALIGN=MIDDLE  ALT=\"%22%3A%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F11 ALIGN=MIDDLE  ALT=\"8%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A11 ALIGN=MIDDLE  ALT=\"5%2A11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%3A%22 ALIGN=MIDDLE  ALT=\"%22%3A%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A8 ALIGN=MIDDLE  ALT=\"8%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55 ALIGN=MIDDLE  ALT=\"55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22%3A%22 ALIGN=MIDDLE  ALT=\"%22%3A%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64 ALIGN=MIDDLE  ALT=\"64\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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