document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763032>Question 763032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in what ratio must tea costing P24 per kg be mixed with tea costing P34 per kg so that a profit of 20% is made by selling the mixture at P36 per kg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464521 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=464521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What would be the price of the mixture of these teas, if u= kg of P24 type and v = kg of the P34 type:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24u%2B34v ALIGN=MIDDLE  ALT=\"24u%2B34v\"   DISABLED_style= \"max-width:90%; height:auto;\" > P units  for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28u%2Bv%29 ALIGN=MIDDLE  ALT=\"%28u%2Bv%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > kilograms.<BR>\n" );
document.write( "The 1 kg unit cost is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824u%2B34v%29%2F%28u%2Bv%29 ALIGN=MIDDLE  ALT=\"%2824u%2B34v%29%2F%28u%2Bv%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > P per kg.\r<BR>\n" );
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document.write( "Undo that 20% profit to know the cost per kg for the mixture originally.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F1.20%29%2836%29=30 ALIGN=MIDDLE  ALT=\"%281%2F1.20%29%2836%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > P per kg is this original mixture price or cost.\r<BR>\n" );
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document.write( "Original mixture price: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824u%2B34v%29%2F%28u%2Bv%29=30 ALIGN=MIDDLE  ALT=\"%2824u%2B34v%29%2F%28u%2Bv%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And we could have assumed the original mixing were based on forming a 1 kilogram mixture, so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=1 ALIGN=MIDDLE  ALT=\"u%2Bv=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use that sum relationship as substitution to the \"30\" equation and divide left & right by 2 to simplify that \"30\" so you have this system to solve:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812u%2B17v%29%2F1=30 ALIGN=MIDDLE  ALT=\"%2812u%2B17v%29%2F1=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=1 ALIGN=MIDDLE  ALT=\"u%2Bv=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2812u%2B17v=30%29 ALIGN=MIDDLE  ALT=\"highlight%2812u%2B17v=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28u%2Bv=1%29 ALIGN=MIDDLE  ALT=\"highlight%28u%2Bv=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now just solve for u and v. </SPAN>\n" );
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