document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=736723>Question 736723</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Question 18379: A man walks into a bank and makes a withdrawal of $1500 from his savings account. He asks for a specific number of $1 bills and a certain number of $10 bills. He also asks for ten times as many $5 dollar bills as $1 bills and twice as many $50 bills as $10 bills. How many bills of each type does he get? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451963 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=451963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n=ones <BR>\n" );
document.write( "t=tens<BR>\n" );
document.write( "f=fives<BR>\n" );
document.write( "y=fifties\r<BR>\n" );
document.write( "\n" );
document.write( "n+10t+5f+50y=1500<BR>\n" );
document.write( "10n=f<BR>\n" );
document.write( "2t=y<BR>\n" );
document.write( "we only have three equations with four unknowns<BR>\n" );
document.write( "we can limit the numbers<BR>\n" );
document.write( "150>t>0<BR>\n" );
document.write( "30>y>0<BR>\n" );
document.write( "1500>n>0<BR>\n" );
document.write( "300>f>0<BR>\n" );
document.write( "y must be even <BR>\n" );
document.write( "there are now only 15 possible values for y<BR>\n" );
document.write( "n<f<BR>\n" );
document.write( "so<BR>\n" );
document.write( "300>n>0<BR>\n" );
document.write( "but f <300<BR>\n" );
document.write( "so 30>n<BR>\n" );
document.write( "and <BR>\n" );
document.write( "t<15<BR>\n" );
document.write( "from trial and error<BR>\n" );
document.write( "n = 10 and f = 100 and t = 9 and y = 18<BR>\n" );
document.write( "check<BR>\n" );
document.write( "10*1+100*5+9*10+18*50<BR>\n" );
document.write( "10+500+90+900=1500<BR>\n" );
document.write( "1500=1500<BR>\n" );
document.write( "ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );