document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040717>Question 1040717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of stamps consist of 3¢ stamps, 7¢ stamps, and 12 ¢ stamps. The number of 3 ¢ stamps is five less than the number of 7 ¢ stamps. The number of 12 ¢ stamps is one-half the number of 7 ¢ stamps. The total value of all the stamps is $2.73. Find the number of each type of stamp in the collection. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655609 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=655609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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 3 cent stamps<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 7 cent stamps<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 12 cent stamps<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+b+-+5+ ALIGN=MIDDLE  ALT=\"+a+=+b+-+5+\"   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+=+%281%2F2%29%2Ab+ ALIGN=MIDDLE  ALT=\"+c+=+%281%2F2%29%2Ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+7b+%2B+12c+=+273+ ALIGN=MIDDLE  ALT=\"+3a+%2B+7b+%2B+12c+=+273+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in cents )<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Substitute (1) and (2) into (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+b+-+5+%29+%2B+7b+%2B+12%2A%28+b%2F2+%29+=+273+ ALIGN=MIDDLE  ALT=\"+3%2A%28+b+-+5+%29+%2B+7b+%2B+12%2A%28+b%2F2+%29+=+273+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3b+-+15+%2B+7b+%2B+6b+=+273+ ALIGN=MIDDLE  ALT=\"+3b+-+15+%2B+7b+%2B+6b+=+273+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16b++=+288+ ALIGN=MIDDLE  ALT=\"+16b++=+288+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+18+ ALIGN=MIDDLE  ALT=\"+b+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+b+-+5+ ALIGN=MIDDLE  ALT=\"+a+=+b+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+18+-+5+ ALIGN=MIDDLE  ALT=\"+a+=+18+-+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+13+ ALIGN=MIDDLE  ALT=\"+a+=+13+\"   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+=+%281%2F2%29%2Ab+ ALIGN=MIDDLE  ALT=\"+c+=+%281%2F2%29%2Ab+\"   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+=+%281%2F2%29%2A18+ ALIGN=MIDDLE  ALT=\"+c+=+%281%2F2%29%2A18+\"   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+=+9+ ALIGN=MIDDLE  ALT=\"+c+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "The number of 3 cent stamps is 13<BR>\n" );
document.write( "The number of 7 cent stamps is 18<BR>\n" );
document.write( "The number of 12 cent stamps is 9<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+7b+%2B+12c+=+273+ ALIGN=MIDDLE  ALT=\"+3a+%2B+7b+%2B+12c+=+273+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A13+%2B+7%2A18+%2B+12%2A9+=+273+ ALIGN=MIDDLE  ALT=\"+3%2A13+%2B+7%2A18+%2B+12%2A9+=+273+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can verify this equation </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );