document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498263>Question 498263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy.  How many grams of 60% alloy should be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336991 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do it like this one.  Only the numbers are different.<BR>\n" );
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document.write( "a solution of 78% alcohol is to be mixed with a solution of 23% alcohol to form 165 liters of a 58% solution.  How many liters of the 78% solution must be used?<BR>\n" );
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document.write( "s = amount of 78%<BR>\n" );
document.write( "t = amount of 23%<BR>\n" );
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document.write( "s + t = 165 (total solution)<BR>\n" );
document.write( "--> t = 165 - s<BR>\n" );
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document.write( "0.78t + 0.23s = 0.58*165 (total alcohol)<BR>\n" );
document.write( "Sub for t<BR>\n" );
document.write( "0.78s + 0.23(165-s) = 0.58*165<BR>\n" );
document.write( "78s + 3795 - 23s = 9570<BR>\n" );
document.write( "55s = 5775<BR>\n" );
document.write( "s = 105 liters of 78%<BR>\n" );
document.write( " </SPAN>\n" );
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