document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924971>Question 924971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I was wondering if you could help me with this math problem. The question is \"Pure copper was mixed with 34 kg of a 12% copper alloy to produce a new alloy that is 32% copper. How much of the pure copper was used to make the new alloy?\"\r<BR>\n" );
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document.write( "I tried to work the problem out with an equation, but I could not get the correct equation. <BR>\n" );
document.write( "Anything would help. I am so lost. <BR>\n" );
document.write( "Thanks!<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 #561269 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=561269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Go straight to their question: \"How much of the pure copper was used to make the new alloy?\"\r<BR>\n" );
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document.write( "So they want to know how much pure copper to use. For now, we don't know it, so let's make\r<BR>\n" );
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document.write( "x = amount of pure copper (in kg)\r<BR>\n" );
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document.write( "We'll be adding x kg of pure copper\r<BR>\n" );
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document.write( "We already have \" 34 kg of a 12% copper alloy\", so 34*0.12 = 4.08 kg of pure copper is already there.\r<BR>\n" );
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document.write( "We add x kg of pure copper to 4.08 kg to get x+4.08\r<BR>\n" );
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document.write( "In total, we have x+4.08 kg of pure copper.\r<BR>\n" );
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document.write( "We are adding x kg of pure copper to be mixed with the 34 kg of copper alloy. So we'll have a total of x+34 copper alloy (copper + other stuff)\r<BR>\n" );
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document.write( "Divide the two expressions to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28amount_pure_copper%29%2F%28amount_alloy%29+=+%28x%2B4.08%29%2F%28x%2B34%29 ALIGN=MIDDLE  ALT=\"%28amount_pure_copper%29%2F%28amount_alloy%29+=+%28x%2B4.08%29%2F%28x%2B34%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The expression must be set equal to 0.32 because we want the final alloy to be 32% copper.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4.08%29%2F%28x%2B34%29=0.32 ALIGN=MIDDLE  ALT=\"%28x%2B4.08%29%2F%28x%2B34%29=0.32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10 ALIGN=MIDDLE  ALT=\"x=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "You must add <font size=5 color=\"red\">10 kg</font> of pure copper.\r<BR>\n" );
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document.write( "Let me know if that helps or not. Thanks.\r<BR>\n" );
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document.write( "If you need more help, feel free to email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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