document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807978>Question 807978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You need 810 mL of a 30% alcohol solution. On hand, you have a 5% alcohol mixture and a 95% alcohol mixture. How much of each mixture will you need to obtain the desired solution?<BR>\n" );
document.write( "How much of the 5% solution and how much of the 95% solution do I need? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486648 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=486648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This same exercise problem occurs very frequently, shown in many different examples.\r<BR>\n" );
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document.write( "ASSIGN VARIABLES<BR>\n" );
document.write( "L = 5% alcohol<BR>\n" );
document.write( "T = 30%, the concentration target<BR>\n" );
document.write( "H = 95%, the high concentration material<BR>\n" );
document.write( "M = 810 mL, amount of T conc. wanted<BR>\n" );
document.write( "u = unknown amount of L material<BR>\n" );
document.write( "v = unknown amount of H material\r<BR>\n" );
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document.write( "FORMULATE EQUATIONS\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28Lu%2BHv%29%2FM=T%29 ALIGN=MIDDLE  ALT=\"highlight%28%28Lu%2BHv%29%2FM=T%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u%2Bv=M%29 ALIGN=MIDDLE  ALT=\"highlight%28u%2Bv=M%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SOLVE THE SYSTEM FOR u AND v.<BR>\n" );
document.write( "You do the steps.  The essential part (or maybe half of it) was to form the system of equations.  The steps after that are routine. </SPAN>\n" );
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