document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950287>Question 950287</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Bernice mixes peanuts worth 105.00 per kilo with 100 kilograms of cashew nuts worth 50.00 per kilo. How many kilograms of peanuts should be added so that the final mix is worth 75.00 per kilogram? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580232 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=580232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> peanuts = 105 per kilo<BR>\n" );
document.write( "cashews = 50 per kilo<BR>\n" );
document.write( "x = number of kilos of peanuts<BR>\n" );
document.write( "100 = number of kilos of cashews.\r<BR>\n" );
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document.write( "total kilos = x + 100\r<BR>\n" );
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document.write( "105 * x + 100 * 50 = 75 * (x + 100)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "105x + 5000 = 75x + 7500\r<BR>\n" );
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document.write( "subtract 75x from both sides of the equation and subtract 5000 from both sides of the equation to get:\r<BR>\n" );
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document.write( "105x - 75x = 7500 - 5000\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "30x = 2500\r<BR>\n" );
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document.write( "divide both sides of the equation by 30 to get:\r<BR>\n" );
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document.write( "x = 250/3\r<BR>\n" );
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document.write( "that's equivalent to 83 and 1/3 kilos of peanuts.\r<BR>\n" );
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document.write( "replace x in the original equation with 250/3 to confirm the solution is good.\r<BR>\n" );
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document.write( "105 * x + 100 * 50 = 75 * (x + 100) becomes:\r<BR>\n" );
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document.write( "105 * 250/3 + 100 * 50 = 75 * (250/3 + 100)\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "8750 + 5000 = 6250 + 7500 which becomes:\r<BR>\n" );
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document.write( "13750 = 13750\r<BR>\n" );
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document.write( "this confirms the solution is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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