document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200849>Question 200849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151091 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "For each of them to have the same amount of money, they would each have to have a sum equal to the average of the three amounts.  The problem is to compute the difference between the amount of money they each have and that average amount.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> represent the amount Richard has.\r<BR>\n" );
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document.write( "Then Frank must have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 3\"> and George must have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 3 + 9 = x + 12\">\r<BR>\n" );
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document.write( "The average of these three amounts is the sum of the amounts divided by 3:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{x + x + 3 + x + 12}{3} = \frac{3x+15}{3} = x + 5\">\r<BR>\n" );
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document.write( "In order for Richard who has <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> dollars to have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 5\"> dollars, he would have to <i>receive</i> 5 dollars.\r<BR>\n" );
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document.write( "In order for Frank who has <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 3\"> dollars to have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 5\"> dollars, he would have to <i>receive</i> 2 dollars.\r<BR>\n" );
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document.write( "In order for George who has <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 12\"> dollars to have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x + 5\"> dollars, he would have to <i>give</i> 7 dollars.\r<BR>\n" );
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document.write( "So George gives 2 dollars to Frank and 5 dollars to Richard.  Then George will have 7 dollars less and Frank will have 2 dollars more reducing their difference of 9 to zero.  And Frank will have 2 dollars more while Richard has 5 dollars more reducing their difference from 3 to zero.  Answer checks.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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