document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215899>Question 215899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rory claims: \"I have $20 in quarters, half dollars, and one-dollar bills.  I have twice as many quarters as half dollars, and half as many one-dollar bills as half dollars\".  Give a convincing argument to explain why he must be wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163107 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> CONVINCING ARGUMENT:<BR>\n" );
document.write( "In order for his claim to be correct, the number quarters, half-dollars and one dollar bills need to be whole numbers and this does not happen.  When we solve our equation, we end up with 13 1/3 half dollars, so his claim must be flawed.\r<BR>\n" );
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document.write( "Let x=number of half dollars; 0.5x=value of half dollars<BR>\n" );
document.write( "Then 2x=number of quarters;  0.25(2x)=0.5x=value of quarters<BR>\n" );
document.write( "And 0.5x= number of dollar bills; 1(0.5x)=0.5x=value of dollar bills<BR>\n" );
document.write( "So, our equation to solve is:<BR>\n" );
document.write( "0.5x+0.5x+0.5x=20<BR>\n" );
document.write( "1.5x=20  divide each side by 1.5<BR>\n" );
document.write( "x=13 1/3 --------------number of half dollars NO WAY!!!!!\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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