document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773669>Question 773669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A liter of vinegar is 5% acid. How many more liters of pure acid are needed to get a mixture that is 81% acid? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471745 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=471745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Data To Know First:<BR>\n" );
document.write( "5% Vinegar is as weight/weight.  Density 1.00 gram/ml.<BR>\n" );
document.write( "Pure 100% Acetic Acid, assumed weight/weight, Density 1.049 gram/cm^3\r<BR>\n" );
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document.write( "Use mass to do the main solving.<BR>\n" );
document.write( "Letting a = grams of acetic acid (100% acid),<BR>\n" );
document.write( "the mass of acid in the 1 liter of 5% is -------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A%281.00%29%2A%281000%29 ALIGN=MIDDLE  ALT=\"1%2A%281.00%29%2A%281000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2A%28g%2Fml%29%2A%28ml%2FL%29%7D%0D%0A=%7B%7B%7B1000 ALIGN=MIDDLE  ALT=\"L%2A%28g%2Fml%29%2A%28ml%2FL%29%7D%0D%0A=%7B%7B%7B1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > grams, where \"g\" was an abbreviation for \"grams\"\r<BR>\n" );
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document.write( "Equation first all in mass is then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281000%2A0.05%2B1.00%2Aa%29%2F%281000%2Ba%29=0.81%29 ALIGN=MIDDLE  ALT=\"highlight%28%281000%2A0.05%2B1.00%2Aa%29%2F%281000%2Ba%29=0.81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that the 1.00 in the rational equation stands for \"100%\" for \"a\".\r<BR>\n" );
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document.write( "The algebraic steps, not shown here, will lead to .....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4000 ALIGN=MIDDLE  ALT=\"a=4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > grams<BR>\n" );
document.write( "from which you must use density to find the result in volume liters:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284000%2A%281%2F1.049%29%281%2F1000%29=3.81%29 ALIGN=MIDDLE  ALT=\"highlight%284000%2A%281%2F1.049%29%281%2F1000%29=3.81%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Liters<BR>\n" );
document.write( "The units conversion here is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2A%28cm%5E3%2Fg%29%28L%2Fcm%5E3%29=L ALIGN=MIDDLE  ALT=\"g%2A%28cm%5E3%2Fg%29%28L%2Fcm%5E3%29=L\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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