document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=771326>Question 771326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey, this makes two solutions.one is 24 percent acid the rest is water and the other is 41 percent acid is about how much of each solution does she need to do 50 gallons of a solution that is 31 percent 250 gallons of the solution that is 31 percent acid\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 #470175 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=470175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your question is confusing.  Are you asking two questions?  \r<BR>\n" );
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document.write( "Given information:  24% acid solution and 41% acid solution.  <BR>\n" );
document.write( "Wanted maybe:  50 gallons of 31% solution; and 250 gallons of 31% acid solution.\r<BR>\n" );
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document.write( "Let V = volume in gallons of the resulting solution when the two different concentrations are mixed.<BR>\n" );
document.write( "Let x = volume of the 24% acid<BR>\n" );
document.write( "let y = volume of the 41% acid\r<BR>\n" );
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document.write( "The initial untreated system:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824x%2B41y%29%2FV=31 ALIGN=MIDDLE  ALT=\"%2824x%2B41y%29%2FV=31\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=V ALIGN=MIDDLE  ALT=\"x%2By=V\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Dealing with the rational equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%2B41y=31V ALIGN=MIDDLE  ALT=\"24x%2B41y=31V\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the system you can use to solve for x and y could be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2824x%2B41y=31V%29 ALIGN=MIDDLE  ALT=\"highlight%2824x%2B41y=31V%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2By=V%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2By=V%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Pushing a little further, use the volume sum as 24x+24y=24V since this will allow elimination of the x terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%2B41y-%2824x%2B24y%29=31V-24V ALIGN=MIDDLE  ALT=\"24x%2B41y-%2824x%2B24y%29=31V-24V\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41y-24y=7V ALIGN=MIDDLE  ALT=\"41y-24y=7V\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17y=7V ALIGN=MIDDLE  ALT=\"17y=7V\"   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=7V%2F17%29 ALIGN=MIDDLE  ALT=\"highlight%28y=7V%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this into the volume sum to find x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=V-y ALIGN=MIDDLE  ALT=\"x=V-y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=V-%287V%2F17%29 ALIGN=MIDDLE  ALT=\"x=V-%287V%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2817-7V%29%2F17 ALIGN=MIDDLE  ALT=\"x=%2817-7V%29%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=10V%2F17%29 ALIGN=MIDDLE  ALT=\"highlight%28x=10V%2F17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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