document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992178>Question 992178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jeweler has 5 rings, each weighing 12 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 76%. How much silver should she add? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611790 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> assuming the distribution is by weight, then you have 3 grams of silver and 57 grams of gold in a total of 60 grams of rings.\r<BR>\n" );
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document.write( "that's because .05 * 60 = 3 and .95 * 60 = 57.\r<BR>\n" );
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document.write( "you have a total of 60 grams because 5 rings at 12 grams apiece makes 5 * 12 = 60 grams total.\r<BR>\n" );
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document.write( "you want to add x number of grams of silver to this total to make the total percent of silver equal to 24%.\r<BR>\n" );
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document.write( "we got the 24% silver by subtracting 76% of gold from 100% total to get 24% of silver.\r<BR>\n" );
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document.write( "the formula to use would be:\r<BR>\n" );
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document.write( "3 + x = .24 * (60 + x)\r<BR>\n" );
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document.write( "simplify to get 3 + x = 14.4 + .24 * x\r<BR>\n" );
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document.write( "subtract .24 * x from both sides of the equation and subtract 3 from both sides of the equation to get:\r<BR>\n" );
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document.write( "x - .24 * x = 14.4 - 3\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( ".76 * x = 11.4\r<BR>\n" );
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document.write( "divide both sides of the equation by .76 to get:\r<BR>\n" );
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document.write( "x = 11.4 / .76 = 15.\r<BR>\n" );
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document.write( "she needs to add 15 grams of silver to the mix.\r<BR>\n" );
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document.write( "3 grams of silver plus 15 grams of silver = 18 grams of silver.\r<BR>\n" );
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document.write( "60 total grams plus 15 grams of silver = 75 total grams.\r<BR>\n" );
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document.write( "18/75 = .24 * 100 = 24%.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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