document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584614>Question 584614</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jeweler has four rings, each weighing 20 grams, made of an alloy of 5% silver and 95% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 80%.<BR>\n" );
document.write( "(a) Construct a model that gives the fraction G(x) of the new alloy that is pure gold. (Let x represent the number of grams of silver added.)<BR>\n" );
document.write( "G(x)  =  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373052 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jeweler has four rings, each weighing 20 grams, made of an alloy of 5% silver and 95% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 80%.<BR>\n" );
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document.write( "Total weight of the 4 rings 80 grams<BR>\n" );
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document.write( "Let x = amt of extra silver required<BR>\n" );
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document.write( "A mixture of gold equation (the amt of gold remains the same only the % changes)<BR>\n" );
document.write( ".95(80) = .80(x+80)<BR>\n" );
document.write( "76 = .80x + 64<BR>\n" );
document.write( "76 - 64 = .8x<BR>\n" );
document.write( "12 = .8x<BR>\n" );
document.write( "x = 12/.8<BR>\n" );
document.write( "x = 15 grams of silver required to reduce gold content to 80%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(a) Construct a model that gives the fraction G(x) of the new alloy that is pure gold. (Let x represent the number of grams of silver added.)<BR>\n" );
document.write( "G(x) = <BR>\n" );
document.write( ":<BR>\n" );
document.write( "In the original mixture of 80 gram, 76 grams is pure gold, therefore<BR>\n" );
document.write( "G(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=76%2F%28%28x%2B80%29%29 ALIGN=MIDDLE  ALT=\"76%2F%28%28x%2B80%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check this by adding 15 grams of silver like we did above<BR>\n" );
document.write( "G(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=76%2F%28%2815%2B80%29%29 ALIGN=MIDDLE  ALT=\"76%2F%28%2815%2B80%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "G(x) = .8 or 8/10 is pure gold </SPAN>\n" );
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