document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161154>Question 161154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me set this problem up so I can solve it. How many grams of pure gold must be added to 65% alloy of gold to produce 70 grams of 48% alloy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118716 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem is incorrectly written you cannot add a higher percentage of alloy to a pure metal in order to generate a lower % of alloy. The way this problem is written you would have an alloy composition greater than 65% and less than %100.\r<BR>\n" );
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document.write( "I think that the equation was supposed to be using 48% alloy and pure gold to make 65% alloy.\r<BR>\n" );
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document.write( "First we would convert the percentages to decimal\r<BR>\n" );
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document.write( "100%=100/100=1\r<BR>\n" );
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document.write( "48%=48/100=.48<BR>\n" );
document.write( "65%=65/100=.65\r<BR>\n" );
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document.write( "X=# of grams of pure gold\r<BR>\n" );
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document.write( "70-x=# of grams of 48% gold alloy\r<BR>\n" );
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document.write( "The equation is as follows\r<BR>\n" );
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document.write( "1x+.48(70-x)=.65(70)\r<BR>\n" );
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document.write( "Use the distributive property<BR>\n" );
document.write( "x+33.6-.48x=45.5\r<BR>\n" );
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document.write( "add (1-.48)x=.52x\r<BR>\n" );
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document.write( ".52x+33.6=45.5\r<BR>\n" );
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document.write( "Subtract 33.6 from both sides\r<BR>\n" );
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document.write( ".52x=11.9\r<BR>\n" );
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document.write( "Divide both sides by .52\r<BR>\n" );
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document.write( "x=22.8 grams of pure gold\r<BR>\n" );
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document.write( "Let's check\r<BR>\n" );
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document.write( "22.8+[47.11(.48)]=45.5\r<BR>\n" );
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document.write( "22.8+22.61=45.5\r<BR>\n" );
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document.write( "Both sides = </SPAN>\n" );
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