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" );
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document.write( "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( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );