document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138734>Question 138734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having a problem setting up the correct equation for this problem.<BR>\n" );
document.write( "How much silver and lead should be added to 100 lbs of a mixture containing 15% silver and 30% lead to obtain an alloy containing 25% silver and 50% lead.<BR>\n" );
document.write( "I believe the answer is 40lbs silver and 80lbs lead.<BR>\n" );
document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101232 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=101232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much silver and lead should be added to 100 lbs of a mixture containing 15% silver and 30% lead to obtain an alloy containing 25% silver and 50% lead.<BR>\n" );
document.write( "I believe the answer is 40lbs silver and 80lbs lead.<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Start:<BR>\n" );
document.write( "Amount = 100 lbs:<BR>\n" );
document.write( "15% silver = 15 lbs<BR>\n" );
document.write( "30% lead = 30 lbs <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Add:<BR>\n" );
document.write( "silver = S<BR>\n" );
document.write( "Lead = L<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "End up with:<BR>\n" );
document.write( "Amount: 100+S + L  lbs<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "Silver: 15 + S = 0.25(100 + S + L)<BR>\n" );
document.write( "15 + S = 25 + 0.25S + 0.25L<BR>\n" );
document.write( "0.75S - 0.25L = 10<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Lead: 30 + L = 0.50(100+S+L)<BR>\n" );
document.write( "30 + L = 50 + 0.50S + 0.50L<BR>\n" );
document.write( "0.50S -0.50L = -20<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Summary:<BR>\n" );
document.write( "0.75S - 0.25L = 10<BR>\n" );
document.write( "0.50S -0.50L = -20<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "I used a Matrix method to get:<BR>\n" );
document.write( "S = 40<BR>\n" );
document.write( "L = 80<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "You are correct.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );