document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183783>Question 183783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am absolutely baffled by this one.  I am terrible at fractions anyway, but that to a word problem and I am lost.\r<BR>\n" );
document.write( "\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 otain a 6 ounce 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 #137911 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=137911\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 otain a 6 ounce mixture that is two-thirds pure gold?<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "gold + gold = gold<BR>\n" );
document.write( "(3/4)x + (5/12)(6-x) = (2/3)*6\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply thru by 12 to get:<BR>\n" );
document.write( "9x + 5(6-x) = 8*6\r<BR>\n" );
document.write( "\n" );
document.write( "9x + 5*6 - 5x = 8*6\r<BR>\n" );
document.write( "\n" );
document.write( "4x = 3*6\r<BR>\n" );
document.write( "\n" );
document.write( "x = 9/2 = 4 1/2 oz (amt. of (3/4) pure gold in the mixture)\r<BR>\n" );
document.write( "\n" );
document.write( "6-x = 6 - 4 1/2 = 1 1/2 oz (amt of (5/12) pure gold in the mixture)\r<BR>\n" );
document.write( "\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" );