document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515516>Question 515516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brandon has $140 in his pocket, consisting of $20, $10 and $5 bills.  The number of $20 bills is two less than the number of $5 bills. If he has 13 bills in his pocket, how many of each denomination does he have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344056 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of $5 bills<BR>\n" );
document.write( "5x = value of the $5 bills in dollars<BR>\n" );
document.write( "y = number of $10 bills<BR>\n" );
document.write( "10y = value of the $10 bills in dollars<BR>\n" );
document.write( "z = number of $20 bills<BR>\n" );
document.write( "20z = value of the $20 bills in dollars<BR>\n" );
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document.write( "x + y + z = 13<BR>\n" );
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document.write( "5x + 10y + 20z = 140<BR>\n" );
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document.write( "z = x-2<BR>\n" );
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document.write( "substitute<BR>\n" );
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document.write( "x +y +x-2 = 13<BR>\n" );
document.write( "2x +y = 15<BR>\n" );
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document.write( "5x + 10y +20(x-2) = 140<BR>\n" );
document.write( "5x +10y +20x -40 = 140<BR>\n" );
document.write( "25x +10y= 180<BR>\n" );
document.write( "5x +2y = 36<BR>\n" );
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document.write( "2x +y = 15<BR>\n" );
document.write( "5x +2y = 36<BR>\n" );
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document.write( "4x +2y = 30<BR>\n" );
document.write( "5x +2y = 36<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "-x = -6<BR>\n" );
document.write( "x = 6<BR>\n" );
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document.write( "z = x-2<BR>\n" );
document.write( "z = 4<BR>\n" );
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document.write( "x + y + z = 13<BR>\n" );
document.write( "6 + y + 4 = 13<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "Check values to make sure this is $140<BR>\n" );
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document.write( "5*6 = 30<BR>\n" );
document.write( "10*3 = 30<BR>\n" );
document.write( "20*4 = 80<BR>\n" );
document.write( "30 + 30 + 80 = 140<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Answer:  He has 6 $5 bills, 3 $10 bills, and 4 $20 bills.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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