document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=586013>Question 586013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the cash drawer at a bank, the ratio of the number of $1 bills to the number of $5 bills is 5 to 4, and the ratio of $10 bills to $20 bills is 2 to 1.  These bills represent the total amount of money in the drawer: $6795.  How many $1 bills are in the drawer?\r<BR>\n" );
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document.write( "I know how to do basic ratio problems, but being that this one involves money, it  just confuses me... Please help! I would /really/ appreciate it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373611 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way I do it is:<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of $1 bills<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of $5 bills<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of $10 bills<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of $20 bills<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Fb+=+5%2F4+ ALIGN=MIDDLE  ALT=\"+a%2Fb+=+5%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c%2Fd+=+2%2F1+ ALIGN=MIDDLE  ALT=\"+c%2Fd+=+2%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Aa+%2B+5%2Ab+%2B+10%2Ac+%2B+20%2Ad+=+6795+ ALIGN=MIDDLE  ALT=\"+1%2Aa+%2B+5%2Ab+%2B+10%2Ac+%2B+20%2Ad+=+6795+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "This is 4 unknowns and only 3 equations,<BR>\n" );
document.write( "so it isn't completely solvable, but the <BR>\n" );
document.write( "information can still be there<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+=+5b+ ALIGN=MIDDLE  ALT=\"+4a+=+5b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+%285%2F4%29%2Aa+ ALIGN=MIDDLE  ALT=\"+b+=+%285%2F4%29%2Aa+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+2d+ ALIGN=MIDDLE  ALT=\"+c+=+2d+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "The possible combinations of $1s and $5s is:<BR>\n" );
document.write( "5 $1s<BR>\n" );
document.write( "4 $5s<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "10 $1s<BR>\n" );
document.write( "8 $5s<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "15 $1s = $15<BR>\n" );
document.write( "12 $5s = $60<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Whatever combination I choose, the remainder of the money<BR>\n" );
document.write( "must be divisible by $40 ( 1 $20 and 2 $10s )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6795+-+75+=+6720+ ALIGN=MIDDLE  ALT=\"+6795+-+75+=+6720+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6720%2F40+=+168+ ALIGN=MIDDLE  ALT=\"+6720%2F40+=+168+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " this seems to work<BR>\n" );
document.write( "168 $20s = $3360<BR>\n" );
document.write( "336 $10s = $3360<BR>\n" );
document.write( "12 $5s = $60<BR>\n" );
document.write( "15 $1s = $15<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "sum = $6795<BR>\n" );
document.write( "I don't know if another combination will work.<BR>\n" );
document.write( "This one seems to.<BR>\n" );
document.write( "  </SPAN>\n" );
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