document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023360>Question 1023360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For thousands of&#8203; years, gold has been considered one of the&#8203; Earth's most precious metals. One hundred percent pure gold is&#8203; 24-karat gold, which is too soft to be made into jewelry. Most gold jewelry is&#8203; 14-karat gold, approximately&#8203; 58% gold. If&#8203; 18-karat gold is&#8203; 75% gold and&#8203; 12-karat gold is&#8203; 50% gold, how much of each should be used to make a&#8203; 14-karat gold bracelet weighing 50 &#8203;grams? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638895 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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/cgi-bin/show-face.mpl?user=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We need a total of 50<BR>\n" );
document.write( "Let X be the amount of 18 karat <BR>\n" );
document.write( "So (50-X) is the amount of 12 karat gold\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2850-X%29%280.50%29+%2B+X%280.75%29+%29%2F50+=+58%2F100 ALIGN=MIDDLE  ALT=\"%28%2850-X%29%280.50%29+%2B+X%280.75%29+%29%2F50+=+58%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825-0.50X+%2B+0.75X+%29%2F50+=+58%2F100 ALIGN=MIDDLE  ALT=\"%2825-0.50X+%2B+0.75X+%29%2F50+=+58%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825+%2B+0.25X+%29%2F50+=+58%2F100 ALIGN=MIDDLE  ALT=\"%2825+%2B+0.25X+%29%2F50+=+58%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the cross products<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58%2A50+=+100%2825%2B0.25X%29 ALIGN=MIDDLE  ALT=\"58%2A50+=+100%2825%2B0.25X%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2900 = 2500 + 25X<BR>\n" );
document.write( "add -2500 to each side<BR>\n" );
document.write( "400 = 25X<BR>\n" );
document.write( "divide each side by 25<BR>\n" );
document.write( "16 = X , the amount of 18K ( 75% )<BR>\n" );
document.write( "(50 - X ) = (50 - 16) = 34 , the amount of 12K (50%)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );