document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369399>Question 369399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a word problem my niece had in her homework assignment.  She asked me to help her with it and she was trying to set it up completely different from the way I learned when I was in high school.  The more I try to figure out how to set the problem up, the more confused I become and I can't remember how to do this.  The problem is as follows:\r<BR>\n" );
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document.write( "Gary has $500 more invested at 12% than he has invested at 10%.  The ratio of the amount invested at 12% to what is invested at 10% is 7 to 5.  How much does he have invested at 10%?  \r<BR>\n" );
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document.write( "I know that somewhere in the equation it should say .12 + 500, but I can't remember what I'm supposed to do with the ratio portion and how to fit it in.  I think it's division, but not sure 7/5, but do I put it with the .10?  \r<BR>\n" );
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document.write( "I feel stupid that I can't figure this out and help her, but I'm getting desperate.  The later it gets, the more my mind wants to shut down, but I want to get it!  Thank you for your help!  <BR>\n" );
document.write( "Sara  <BR>\n" );
document.write( "email:  sebsis3@comcast.net </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263227 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the interest percentages are spurious information ___ probably thrown in to cause confusion\r<BR>\n" );
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document.write( "the key is the ratio of the amounts of the two investments<BR>\n" );
document.write( "___ we don't know the amounts , but we do know the ratio<BR>\n" );
document.write( "___ so we put in a constant (fudge factor) and build an equation\r<BR>\n" );
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document.write( "7c = 5c + 500 ___ the ratio is 7 to 5 , with the larger amount being 500 more\r<BR>\n" );
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document.write( "2c = 500 ___ c = 250\r<BR>\n" );
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document.write( "so the two amounts are 1750 and 1250 (250 multiplied by 7 and 5, respectively) </SPAN>\n" );
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