document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=712509>Question 712509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What quantity of a 60% acid solution must be mixed with a 35% solution to produce 600 mL of a 45% 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 #438076 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=438076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assign some variables to everyting.\r<BR>\n" );
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document.write( "M=600 ml. result solution<BR>\n" );
document.write( "u= volume of 35% solution<BR>\n" );
document.write( "v = volume of 60% solution<BR>\n" );
document.write( "T = 45% solution wanted<BR>\n" );
document.write( "L = 35%<BR>\n" );
document.write( "H = 60%<BR>\n" );
document.write( "You want to find u and v.\r<BR>\n" );
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document.write( "The concentration equation symbolically can begin as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Lu%2BHv%29%2F%28u%2Bv%29=T ALIGN=MIDDLE  ALT=\"%28Lu%2BHv%29%2F%28u%2Bv%29=T\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Also fact is u+v=M.  Solve this simpler one for v, to have v=M-u; substitute this into the rational equation, solve for u, and you will have, after algebraic steps:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=M%28H-T%29%2F%28H-L%29%29 ALIGN=MIDDLE  ALT=\"highlight%28u=M%28H-T%29%2F%28H-L%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substitute the given values to find value for u, and then go back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28v=M-u%29 ALIGN=MIDDLE  ALT=\"highlight%28v=M-u%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get the value for v.\r<BR>\n" );
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document.write( "SUBSTITUTING VALUES TO GET u:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2860-45%29%2A600%2F%2860-35%29=u ALIGN=MIDDLE  ALT=\"%2860-45%29%2A600%2F%2860-35%29=u\"   DISABLED_style= \"max-width:90%; height:auto;\" >,.... </SPAN>\n" );
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