document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=784974>Question 784974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose that you have a supply of a 20% solution of alcohol and a 70% solution of alcohol. How man quarts of each should be mixed to produce 50 quarts that is 40% alcohol? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477326 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=477326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ASSIGN VARIABLES<BR>\n" );
document.write( "H = 70%<BR>\n" );
document.write( "L = 20%<BR>\n" );
document.write( "T = 40%, concentration wanted<BR>\n" );
document.write( "M = 50 quarts, quantity wanted<BR>\n" );
document.write( "u = unknown volume of 20%<BR>\n" );
document.write( "v = unknown volume of 70%\r<BR>\n" );
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document.write( "MAKE EQUATIONS FOR SYSTEM\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 for u and v.  The equations will be linear so the rational one with T is easily transformed into a more familiar format.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=M-u ALIGN=MIDDLE  ALT=\"v=M-u\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BHv=TM%2C ALIGN=MIDDLE  ALT=\"Lu%2BHv=TM%2C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BH%28M-u%29=TM ALIGN=MIDDLE  ALT=\"Lu%2BH%28M-u%29=TM\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu-Hu%2BHM=TM ALIGN=MIDDLE  ALT=\"Lu-Hu%2BHM=TM\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28L-H%29u=TM-HM ALIGN=MIDDLE  ALT=\"%28L-H%29u=TM-HM\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=%28TM-HM%29%2F%28L-H%29 ALIGN=MIDDLE  ALT=\"u=%28TM-HM%29%2F%28L-H%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=M%28T-H%29%2F%28L-H%29 ALIGN=MIDDLE  ALT=\"u=M%28T-H%29%2F%28L-H%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by or multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2F%28-1%29 ALIGN=MIDDLE  ALT=\"%28-1%29%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because computations will be easier that way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=M%28H-T%29%2F%28H-L%29%29 ALIGN=MIDDLE  ALT=\"highlight%28u=M%28H-T%29%2F%28H-L%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "'<BR>\n" );
document.write( "Use that for u and then go back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=M-u%29 ALIGN=MIDDLE  ALT=\"highlight%28v=M-u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "SUBSTITUTE THE GIVEN VALUES TO FIND THE UNKNOWN VALUES\r<BR>\n" );
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document.write( "Just use the number values from the description, listed as \"ASSIGN VARIABLES\". </SPAN>\n" );
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