document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126501>Question 126501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Malcome has $1043 in bills of the following denominations: hundreds,fifties,twenties,fives,and ones.  He has three times as many fifties as hundreds,twelve times as many twenties as hundreds, and four times as many ones as hundreds. He has nine more fives than hundreds. How many of each denomination of bill 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 #92691 by </B><A HREF=/tutors/aboutme.mpl?userid=marcsam823><B>marcsam823(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=marcsam823><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=92691\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Define values for the number if bills of each denomination (given in the problem):<BR>\n" );
document.write( "Let x = number of $100 bill<BR>\n" );
document.write( "Let 3x = number of $50 bills<BR>\n" );
document.write( "Let 12x = number of $20 bills<BR>\n" );
document.write( "Let 4x = number of $1 bills<BR>\n" );
document.write( "Let x+9 = number of $5 bills \r<BR>\n" );
document.write( "\n" );
document.write( "2. Define values for the dollar values of each denomintion (multiply variable from step 1 by the value of the denomiation):<BR>\n" );
document.write( "Let 100x = value of all $100 bills<BR>\n" );
document.write( "Let 50(30x) = 150x = value of all $50 bills<BR>\n" );
document.write( "Let 20(12x) = 240x = value of all $20 bills<BR>\n" );
document.write( "Let 1(4x) = 4x = value of all $1 bills<BR>\n" );
document.write( "Let 5(x+9) = 5x+45 = value of all $5 bills\r<BR>\n" );
document.write( "\n" );
document.write( "3. Set up the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x+%2B+150x+%2B+240x+%2B+4x+%2B+5x+%2B+45+=+1043 ALIGN=MIDDLE  ALT=\"100x+%2B+150x+%2B+240x+%2B+4x+%2B+5x+%2B+45+=+1043\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4. Simplify and solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=499x+%2B+45+=+1043 ALIGN=MIDDLE  ALT=\"499x+%2B+45+=+1043\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=499x+=+998 ALIGN=MIDDLE  ALT=\"499x+=+998\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "5. Substitute x = 2 for all variables in step 1 to determine number of each denomination Malcolme has:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > $100 bills<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+3%282%29+=+6 ALIGN=MIDDLE  ALT=\"3x+=+3%282%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > $50 bills<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+12%282%29+=+24 ALIGN=MIDDLE  ALT=\"12x+=+12%282%29+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > $20 bills<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+=+4%282%29+=+8 ALIGN=MIDDLE  ALT=\"4x+=+4%282%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > $1 bills<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+9+=+%282%29+%2B+9+=+11 ALIGN=MIDDLE  ALT=\"x+%2B+9+=+%282%29+%2B+9+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" > $5 bills\r<BR>\n" );
document.write( "\n" );
document.write( "6. Check: Multiply the number of each bill by its face value and sum:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28100%29+%2B+6%2850%29+%2B+24%2820%29+%2B+8%281%29+%2B+11%285%29+=+1043 ALIGN=MIDDLE  ALT=\"2%28100%29+%2B+6%2850%29+%2B+24%2820%29+%2B+8%281%29+%2B+11%285%29+=+1043\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1043+=+1043 ALIGN=MIDDLE  ALT=\"1043+=+1043\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );