document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448243>Question 448243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mettallurgist needs to make 12.4lb of an alloy containing 50% gold. He is going to melt and combine on emetal that is 60% gold with another metal that is 40% gold. how much of each should he use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308462 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=308462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A metallurgist needs to make 12.4 lb of an alloy containing 50% gold. <BR>\n" );
document.write( "He is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. How much of each should he use?<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "gold + gold = gold<BR>\n" );
document.write( "0.60x + 0.40(12.4-x) = 0.50*12.4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "60x + 40*12.4 - 40x = 50*12.4<BR>\n" );
document.write( "------<BR>\n" );
document.write( "20x = 10*12.4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 6.2 lb (amt. of 60% alloy needed)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "12.4-x = 6.2 lb (amt. of 40% alloy needed)<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );