document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274930>Question 274930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200601 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=200601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3/4x+5/12(6-x)=2/3*6<BR>\n" );
document.write( "3x/4+30/12-5x/12=12/3<BR>\n" );
document.write( "3x/4+2.5-5x/12=4<BR>\n" );
document.write( "3x/4-5x/12=4-2.5<BR>\n" );
document.write( "(3x*3-5x)/12=1.5<BR>\n" );
document.write( "(9x-5x)/12=1.5<BR>\n" );
document.write( "4x/12=1.5<BR>\n" );
document.write( "x/3=1.5<BR>\n" );
document.write( "x=4.5 oz. of the 3/4 pure gold is needed.<BR>\n" );
document.write( "6-4.5=1.5 oz. of the 5/12 pure gold is needed.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "3/4*4.5+5/12*1.5=2/3*6<BR>\n" );
document.write( "13.5/4+7.5/12=4<BR>\n" );
document.write( "3.375+.625=4<BR>\n" );
document.write( "4=4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );