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 #655608 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=655608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A collection of stamps consist of 3¢ stamps, 7¢ stamps, and 12 ¢ stamps.<BR>\n" );
document.write( "The number of 3 ¢ stamps is five less than the number of 7 ¢ stamps.<BR>\n" );
document.write( "t = s - 7<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The number of 12 ¢ stamps is one-half the number of 7 ¢ stamps.<BR>\n" );
document.write( "w = (1/2)s<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "The total value of all the stamps is $2.73. <BR>\n" );
document.write( "t + s + w = 273<BR>\n" );
document.write( "Find the number of each type of stamp in the collection. <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Substitute for \"t\" and for \"w\" and solve for \"s\"::<BR>\n" );
document.write( "s-7 + s + (1/2)s = 273<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(5/2)s = 280<BR>\n" );
document.write( "s = 2*56<BR>\n" );
document.write( "s = 112<BR>\n" );
document.write( "----<BR>\n" );
document.write( "t = s-7 = 105<BR>\n" );
document.write( "----<BR>\n" );
document.write( "w + s/2 = 56<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );