document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201569>Question 201569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this word problem - A bank rober holds upa bank and tells the teller to hand over all her $100 bills and $500 bills.  THe teller gave him 8 more $100 bills than $500 bills.  If he gets away with $6,200, how many of each bill did the teller give him? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151784 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=151784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of $100-bills and y = the number of $500-bills.<BR>\n" );
document.write( "The problem states that:<BR>\n" );
document.write( "x = y+8 \"The teller gave him 8 more $100-bills than $500-bills\" also...<BR>\n" );
document.write( "x($100) + y($500) = $6200 Substitute x = y+8 and solve for y.<BR>\n" );
document.write( "(y+8)($100)+y($500) = $6200 Simplify.<BR>\n" );
document.write( "100y+800+500y = 6200<BR>\n" );
document.write( "600y+800 = 6200 Subtract 800 from both sides.<BR>\n" );
document.write( "600y = = 5400 Divide both sides by 600<BR>\n" );
document.write( "y = 9 and x = y+8 = 17<BR>\n" );
document.write( "The teller gives the bank robber 17 $100-bills and 9 $500-bills.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "17($100)+9($500) = $1700+$4500 = $6200<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );