document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58109>Question 58109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To meet the governments specifications, an alloy must be 65% aluminum. How many pounds each of a 70% aluminum alloy and a 54% aluminum alloy will be needed to produce 640 pounds of the 65% aluminum alloy?\r<BR>\n" );
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document.write( "Any help with this one is appreciated! <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 #39748 by </B><A HREF=/tutors/aboutme.mpl?userid=hayek><B>hayek(51)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hayek><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=39748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amount of 70% Al: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B70%5D ALIGN=MIDDLE  ALT=\"Al%5B70%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Amount of 54% Al: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B54%5D ALIGN=MIDDLE  ALT=\"Al%5B54%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The problem tells us to mix the two.  <BR>\n" );
document.write( "The total amount of pure aluminum in the mix will be:  (Eq. 1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5Btot%5D=Al%5B70%5D%2A%28.70%29%2BAl%5B54%5D%2A%28.54%29 ALIGN=MIDDLE  ALT=\"Al%5Btot%5D=Al%5B70%5D%2A%28.70%29%2BAl%5B54%5D%2A%28.54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The total amount of material in the mix <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B70%5D%2BAl%5B54%5D ALIGN=MIDDLE  ALT=\"Al%5B70%5D%2BAl%5B54%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >,must equal 640 pounds ==> (Eq. 2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B70%5D%2BAl%5B54%5D=640 ALIGN=MIDDLE  ALT=\"Al%5B70%5D%2BAl%5B54%5D=640\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We are looking for a final mix of 640 pounds of 65% Al.  Thus, the total aluminum content of the final is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5Btot%5D=640%2A.65 ALIGN=MIDDLE  ALT=\"Al%5Btot%5D=640%2A.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5Btot%5D=416 ALIGN=MIDDLE  ALT=\"Al%5Btot%5D=416\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Plugging that back into Eq. 1 gives:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=416=Al%5B70%5D%2A%28.70%29%2BAl%5B54%5D%2A%28.54%29 ALIGN=MIDDLE  ALT=\"416=Al%5B70%5D%2A%28.70%29%2BAl%5B54%5D%2A%28.54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solving Eq. 2 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B70%5D ALIGN=MIDDLE  ALT=\"Al%5B70%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B70%5D=640-Al%5B54%5D ALIGN=MIDDLE  ALT=\"Al%5B70%5D=640-Al%5B54%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug that into the previous equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=416=%28640-Al%5B54%5D%29%2A.7%2BAl%5B54%5D%28.54%29 ALIGN=MIDDLE  ALT=\"416=%28640-Al%5B54%5D%29%2A.7%2BAl%5B54%5D%28.54%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=416=448-.7%2AAl%5B54%5D%2B.54%2AAl%5B54%5D ALIGN=MIDDLE  ALT=\"416=448-.7%2AAl%5B54%5D%2B.54%2AAl%5B54%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=416=448-.16%2AAl%5B54%5D ALIGN=MIDDLE  ALT=\"416=448-.16%2AAl%5B54%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=416-448=-.16%2AAl%5B54%5D ALIGN=MIDDLE  ALT=\"416-448=-.16%2AAl%5B54%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B54%5D=%28416-448%29%2F-.16 ALIGN=MIDDLE  ALT=\"Al%5B54%5D=%28416-448%29%2F-.16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Al%5B54%5D=200%29 ALIGN=MIDDLE  ALT=\"highlight%28Al%5B54%5D=200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds.<BR>\n" );
document.write( "Plug this into Eq. 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Al%5B70%5D=640-200 ALIGN=MIDDLE  ALT=\"Al%5B70%5D=640-200\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Al%5B70%5D=440%29 ALIGN=MIDDLE  ALT=\"highlight%28Al%5B70%5D=440%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >pounds.\r<BR>\n" );
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