document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708615>Question 708615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a scientist has 35% acid solution and 20% acid solution and she needs 3 liters of 25% acid solution write and solve a linear equation of how much of each solution she should use. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436184 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=436184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you want filling in with values, then for a of the 20% acid and b of the 35% acid, you can make these:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%2Aa%2B35%2Ab%29%2F3=25 ALIGN=MIDDLE  ALT=\"%2820%2Aa%2B35%2Ab%29%2F3=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=3 ALIGN=MIDDLE  ALT=\"a%2Bb=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From the rational equation, multiply left and right by 3, and also divide both sides by 5 (seeing that all terms include a multiple of 5):<BR>\n" );
document.write( "4a+7b=3*5,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2B7b=15 ALIGN=MIDDLE  ALT=\"4a%2B7b=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We have this adjusted system to solve for a and b:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=3 ALIGN=MIDDLE  ALT=\"a%2Bb=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From that, you have a choice of methods.  Substitution, elimination, or simple matrix operations if you wish to.\r<BR>\n" );
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document.write( "Trying substitution, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=3 ALIGN=MIDDLE  ALT=\"a%2Bb=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3-a ALIGN=MIDDLE  ALT=\"b=3-a\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Put into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a%2B7%283-a%29=15 ALIGN=MIDDLE  ALT=\"4a%2B7%283-a%29=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and..... </SPAN>\n" );
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