document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982911>Question 982911</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 80%. He wants to use all three solutions to obtain a mixture of 66 liters containing 55% acid, using 3 times as much of the 80% solution as the 40% solution. How many liters of each solution should be used?\r<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 #603710 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=603710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> TYPE__________PERCENT-CONC_______VARIABLE<BR>\n" );
document.write( "Low____________25_________________x<BR>\n" );
document.write( "Medium_________40_________________y<BR>\n" );
document.write( "High___________80_________________z<BR>\n" );
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document.write( "DESCRIPTION:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2Fy=3 ALIGN=MIDDLE  ALT=\"z%2Fy=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "WANT:  66 liters of 55%\r<BR>\n" );
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document.write( "Accounting for volumes<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2B3y=66 ALIGN=MIDDLE  ALT=\"x%2By%2B3y=66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4y=66 ALIGN=MIDDLE  ALT=\"x%2B4y=66\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for concentrations keeping all as percents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825x%2B40y%2B80z%29%2F%2866%29=55 ALIGN=MIDDLE  ALT=\"%2825x%2B40y%2B80z%29%2F%2866%29=55\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "z can be eliminated from this, just as done in volume account.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825x%2B40y%2B80%2A3y%29%2F66=55 ALIGN=MIDDLE  ALT=\"%2825x%2B40y%2B80%2A3y%29%2F66=55\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide members by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B9y%2B16%2A3y%29%2F66=11 ALIGN=MIDDLE  ALT=\"%285x%2B9y%2B16%2A3y%29%2F66=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%285x%2B57y%29%2F66=11%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%285x%2B57y%29%2F66=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B57y=726 ALIGN=MIDDLE  ALT=\"5x%2B57y=726\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A system of two equations in just x and y is possible.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x%2B4y=66%29%2Chighlight%285x%2B57y=726%29%29 ALIGN=MIDDLE  ALT=\"system%28highlight%28x%2B4y=66%29%2Chighlight%285x%2B57y=726%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for x and y any way you want or know.\r<BR>\n" );
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document.write( "Equivalent:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%285x%2B20y=330%2C5x%2B57y=726%29 ALIGN=MIDDLE  ALT=\"system%285x%2B20y=330%2C5x%2B57y=726%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract first equation from second equation to find y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=10.702%2Aliters%29 ALIGN=MIDDLE  ALT=\"highlight%28y=10.702%2Aliters%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------the 40% material\r<BR>\n" );
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document.write( "Before even finding x,  finding z is possible right now.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3%2Ay ALIGN=MIDDLE  ALT=\"z=3%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3%2A10.702 ALIGN=MIDDLE  ALT=\"z=3%2A10.702\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=32.108%2Aliters%29 ALIGN=MIDDLE  ALT=\"highlight%28z=32.108%2Aliters%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------the 80% material\r<BR>\n" );
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document.write( "The original volume sum equation most easily will give x.\r<BR>\n" );
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