document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348621>Question 348621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the number of $20 bills is 6 fewer than the number of $10 bills.\r<BR>\n" );
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document.write( "How many $5 bills? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249354 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=249354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> $5 bills =a\r<BR>\n" );
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document.write( "$10 = b\r<BR>\n" );
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document.write( "$20 = c\r<BR>\n" );
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document.write( "a=2b+4\r<BR>\n" );
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document.write( "b-6=c\r<BR>\n" );
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document.write( "Since the letters a,b and c represent the number of bills, we have to multiply by their value still since we only know how much money was in the wallet, not how many bills were in there.\r<BR>\n" );
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document.write( "5a+10b+20c=460\r<BR>\n" );
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document.write( "Now put it all in terms of b\r<BR>\n" );
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document.write( "5(2b+4)+10(b)+20(b-6)=460\r<BR>\n" );
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document.write( "10b+20+10b+20b-120=460\r<BR>\n" );
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document.write( "40b-100=460\r<BR>\n" );
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document.write( "40b=560\r<BR>\n" );
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document.write( "b=14 (there are 14 $10 bills)\r<BR>\n" );
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document.write( "but we want $5 bills and we know how to get there from the number of 10 dollar bills....\r<BR>\n" );
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document.write( "a=2b+4\r<BR>\n" );
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document.write( "a=2*14+4\r<BR>\n" );
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document.write( "a=32\r<BR>\n" );
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document.write( "There are 32 $5 bills in the wallet.<BR>\n" );
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