document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710351>Question 710351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A solution if 52% fertilizer is to be mixed with a solution of 22% fertilizer to form 90 liters of a 42% solution. How many of the 52% solution must be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436973 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=436973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This one is the same general problem as question #710342.  Different materails, different mixture unit, different values; but the same problem.\r<BR>\n" );
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document.write( "VARIABLES<BR>\n" );
document.write( "High concentration fertilizer percent, H =52%<BR>\n" );
document.write( "Low concentration fertilizer percent, L =22%<BR>\n" );
document.write( "Target percent wanted, T = 42%<BR>\n" );
document.write( "Amount of High conce. to use, v<BR>\n" );
document.write( "Amount of Low conce. to use, u<BR>\n" );
document.write( "Amount of target mixture produced, M = 90 Liters\r<BR>\n" );
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document.write( "This system can be formed from the description and question<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28uL%2BvH%29%2FM=T ALIGN=MIDDLE  ALT=\"%28uL%2BvH%29%2FM=T\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=M ALIGN=MIDDLE  ALT=\"u%2Bv=M\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If we use the second equation as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=M-u ALIGN=MIDDLE  ALT=\"v=M-u\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can substitute it into the rational equation and solve that one for u, giving us this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u=%28M%28T-H%29%29%2F%28L-H%29%29 ALIGN=MIDDLE  ALT=\"highlight%28u=%28M%28T-H%29%29%2F%28L-H%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, just substitute the values and compute u.<BR>\n" );
document.write( "We can then go to our simpler-looking expression for v and find (compute) it, too.  <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;\" > </SPAN>\n" );
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