document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164916>Question 1164916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use two equations in two variables to solve the application. See Example 6. (Objective 1)\r<BR>\n" );
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document.write( "A chemist has one solution that is 40% alcohol and another that is 55% alcohol. How much of each must she use to make 15 liters of a solution that is 50% alcohol?<BR>\n" );
document.write( "40% solution    	<BR>\n" );
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document.write( "55% solution    	<BR>\n" );
document.write( " L<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789353 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=789353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You already saw solutions to examples like this done in two variables and two unknowns.  Here is what you could do to keep as just one single variable.\r<BR>\n" );
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document.write( "v liters of the 55%<BR>\n" );
document.write( "15-v liters of the 40%\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55v%2B40%2815-v%29=50%2A15 ALIGN=MIDDLE  ALT=\"55v%2B40%2815-v%29=50%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and solve for v, but simplify LATER.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55v%2B40%2A15-40v=50%2A15 ALIGN=MIDDLE  ALT=\"55v%2B40%2A15-40v=50%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55v-40v=50%2A15-40%2A15 ALIGN=MIDDLE  ALT=\"55v-40v=50%2A15-40%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2855-40%29v=15%2850-40%29 ALIGN=MIDDLE  ALT=\"%2855-40%29v=15%2850-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28v=15%28%2850-40%29%2F%2855-40%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28v=15%28%2850-40%29%2F%2855-40%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------Think why this form is shown before simplifying it; and then computing v.  Then, evaluate 15-v.\r<BR>\n" );
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document.write( "You could do the solution as two equations and unknowns if you really want to. </SPAN>\n" );
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