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" );
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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 #137915 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In words:<BR>\n" );
document.write( "(gold in the 3/4 alloy) + (gold in the 5/12 alloy) / (total amt of alloy)<BR>\n" );
document.write( "= (gold in the final mixture)/(total amount of alloy)<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the ounces of 3/4 alloy needed<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the ounces of the 5/12 alloy needed<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "Ounces of gold in 3/4 alloy = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%2Aa ALIGN=MIDDLE  ALT=\"%283%2F4%29%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ounces of gold in the 5/12 alloy = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F12%29%2Ab ALIGN=MIDDLE  ALT=\"%285%2F12%29%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ounces of alloy in the final mixture = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Ounces of gold in the final mixture = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%2A6+=+4 ALIGN=MIDDLE  ALT=\"%282%2F3%29%2A6+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F4%29%2Aa+%2B+%285%2F12%29%2Ab%29+%2F+%28a+%2B+b%29+=+4%2F6 ALIGN=MIDDLE  ALT=\"%28%283%2F4%29%2Aa+%2B+%285%2F12%29%2Ab%29+%2F+%28a+%2B+b%29+=+4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > (this is same as word description)<BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b ALIGN=MIDDLE  ALT=\"a+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%2Aa+%2B+%285%2F12%29%2Ab+=+%282%2F3%29%2A%28a+%2B+b%29 ALIGN=MIDDLE  ALT=\"%283%2F4%29%2Aa+%2B+%285%2F12%29%2Ab+=+%282%2F3%29%2A%28a+%2B+b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a+%2B+5b+=+8%2A%28a+%2B+b%29 ALIGN=MIDDLE  ALT=\"9a+%2B+5b+=+8%2A%28a+%2B+b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a+%2B+5b+=+8a+%2B+8b ALIGN=MIDDLE  ALT=\"9a+%2B+5b+=+8a+%2B+8b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+3b+=+0 ALIGN=MIDDLE  ALT=\"a+-+3b+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+6 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+6 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a+%2B+3b+=+0 ALIGN=MIDDLE  ALT=\"-a+%2B+3b+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b+=+6 ALIGN=MIDDLE  ALT=\"4b+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+3%2F2 ALIGN=MIDDLE  ALT=\"b+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+6 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+3%2F2+=+6 ALIGN=MIDDLE  ALT=\"a+%2B+3%2F2+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+12%2F2+-+3%2F2 ALIGN=MIDDLE  ALT=\"a+=+12%2F2+-+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+9%2F2 ALIGN=MIDDLE  ALT=\"a+=+9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9/2 ounces of 3/4 alloy should be melted and mixed<BR>\n" );
document.write( "with 3/2 ounces of 5/12 alloy<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F4%29%2Aa+%2B+%285%2F12%29%2Ab%29+%2F+%28a+%2B+b%29+=+4%2F6 ALIGN=MIDDLE  ALT=\"%28%283%2F4%29%2Aa+%2B+%285%2F12%29%2Ab%29+%2F+%28a+%2B+b%29+=+4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F4%29%2A%289%2F2%29+%2B+%285%2F12%29%2A%283%2F2%29%29+%2F+%283%2F2+%2B+9%2F2%29+=+4%2F6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2F4%29%2A%289%2F2%29+%2B+%285%2F12%29%2A%283%2F2%29%29+%2F6+=+4%2F6 ALIGN=MIDDLE  ALT=\"%28%283%2F4%29%2A%289%2F2%29+%2B+%285%2F12%29%2A%283%2F2%29%29+%2F6+=+4%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%2A%289%2F2%29+%2B+%285%2F12%29%2A%283%2F2%29+=+4 ALIGN=MIDDLE  ALT=\"%283%2F4%29%2A%289%2F2%29+%2B+%285%2F12%29%2A%283%2F2%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3%2A9+%2B+3%2A5+=+96 ALIGN=MIDDLE  ALT=\"3%2A3%2A9+%2B+3%2A5+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81+%2B+15+=+96 ALIGN=MIDDLE  ALT=\"81+%2B+15+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96+=+96 ALIGN=MIDDLE  ALT=\"96+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK   <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );