document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=425916>Question 425916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help solving the following word problem:<BR>\n" );
document.write( "A wholesaler has 100kg of mixed nuts that sell for $4/kg. In order to make the price more attractive, she plans to mix in some cheaper nuts worth $3.20/kg. If the wholesaler wants to sell the mixture for $3.40/kg, how many kilograms of the cheaper nuts should be used?\r<BR>\n" );
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document.write( "I came up with an answer of 75kg. Is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296398 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=296398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> has 100 kg of mixed nuts that sell for $4.00/kg.\r<BR>\n" );
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document.write( "let x = amount that sell for $3.20/kg.\r<BR>\n" );
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document.write( "100*4 + x*3.20 = (100+x)*3.40\r<BR>\n" );
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document.write( "simplify to get:<BR>\n" );
document.write( "400 + 3.2*x = 3.4*x + 340<BR>\n" );
document.write( "subtract 340 from both sides of the equation to get:<BR>\n" );
document.write( "60 + 3.2*x = 3.4*x<BR>\n" );
document.write( "subtract 3.2*x from both sides of the equation to get:<BR>\n" );
document.write( "60 = .2*x<BR>\n" );
document.write( "divide both sides of the equation by .2 to get:<BR>\n" );
document.write( "x = 300\r<BR>\n" );
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document.write( "she would need to add 300 kg of nuts at $3.20/kg.\r<BR>\n" );
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document.write( "if she did this, the total cost would be 100 * $4.00 + 300 * $3.20 = $400.00 + $960 = $1360 and the total cost/kg would be equal to $1360 / 400 = $3.40/kg\r<BR>\n" );
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document.write( "the total kg of her new mixture is 100 + 300 = 400\r<BR>\n" );
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document.write( "the total price of her new mixture is 100*4 + 300*3.2 = 1360\r<BR>\n" );
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document.write( "the cost per kg of her new mixture is 1360/400 = 3.4\r<BR>\n" );
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document.write( "your answer should be 300 kg.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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