document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077881>Question 1077881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist has three different acid solutions. The first acid solution contains 25% acid, the second contains 40% and the third contains 85% . He wants to use all three solutions to obtain a mixture of 108 liters containing 45% acid, using 2 times as much of the 85% solution as the 40% solution. How many liters of each solution should be used?\r<BR>\n" );
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document.write( "The chemist should use _____ liters of 25% solution, _____ liters of 35% solution, and ____ liters of 75% solution.<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 #692411 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=692411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first acid solution contains <b>25%</b> acid, the second contains <b>40%</b> and the third contains <b>85%</b> . He wants to use all three solutions to obtain a mixture of 108 liters containing 45% acid, using 2 times as much of the 85% solution as the 40% solution. How many liters of each solution should be used?<BR>\n" );
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document.write( "x of 25%<BR>\n" );
document.write( "y of 40%<BR>\n" );
document.write( "z of 85%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2Fy=2 ALIGN=MIDDLE  ALT=\"z%2Fy=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for the pure acid<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%2B40y%2B85%2A2y=108%2A45 ALIGN=MIDDLE  ALT=\"25x%2B40y%2B85%2A2y=108%2A45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B8y%2B17%2A2y=108%2A9 ALIGN=MIDDLE  ALT=\"5x%2B8y%2B17%2A2y=108%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B8y%2B34y=972 ALIGN=MIDDLE  ALT=\"5x%2B8y%2B34y=972\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B42y=972 ALIGN=MIDDLE  ALT=\"5x%2B42y=972\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for the volume<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2B2y=108 ALIGN=MIDDLE  ALT=\"x%2By%2B2y=108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3y=108 ALIGN=MIDDLE  ALT=\"x%2B3y=108\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simpler system in two variables:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285x%2B42y=972%2Cx%2B3y=108%29 ALIGN=MIDDLE  ALT=\"system%285x%2B42y=972%2Cx%2B3y=108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use five times the second equation and subtract from first equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B42y-5x-15y=972-540 ALIGN=MIDDLE  ALT=\"5x%2B42y-5x-15y=972-540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42y-15y=432 ALIGN=MIDDLE  ALT=\"42y-15y=432\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y=432 ALIGN=MIDDLE  ALT=\"27y=432\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=16%29 ALIGN=MIDDLE  ALT=\"highlight%28y=16%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%28x=60%29 ALIGN=MIDDLE  ALT=\"highlight%28x=60%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%28z=32%29 ALIGN=MIDDLE  ALT=\"highlight%28z=32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "60 liters of 25%<BR>\n" );
document.write( "16 liters of 40%<BR>\n" );
document.write( "32 liters of 85% </SPAN>\n" );
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