document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176649>Question 176649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less  than the number of  8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps 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 #131731 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.<BR>\n" );
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document.write( "let x = no. of 3 ct stamps<BR>\n" );
document.write( "let y = no. of 8 ct <BR>\n" );
document.write( "let z = no. of 15 ct<BR>\n" );
document.write( ":<BR>\n" );
document.write( "write an equation for each statement:<BR>\n" );
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document.write( "\" The number of 8 cent stamps is one less than triple the number of 3 cent stamps.\"<BR>\n" );
document.write( "y = 3x - 1<BR>\n" );
document.write( ";<BR>\n" );
document.write( "\" The number of 15 cent stamps is six less than the number of 8 cent stamps.\"<BR>\n" );
document.write( "z = y - 6<BR>\n" );
document.write( "put z in terms of x also; substitute (3x-1) for y<BR>\n" );
document.write( "z = (3x-1) - 6<BR>\n" );
document.write( "z = 3x - 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The total value of all the stamps is $2.47. <BR>\n" );
document.write( ".03x + .08y + .15z = 2.47<BR>\n" );
document.write( "substitute for y & z<BR>\n" );
document.write( ".03x + .08(3x-1) + .15(3x-7) = 2.47<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".03x + .25x - .08 + .45x - 1.05 = 2.47<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".03x + .25x - .45x - .08 - 1.05 = 2.47<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".72x - 1.13 = 2,47<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".72x = 1.13 + 2.47<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".72x = 3.60<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.60%2F.72 ALIGN=MIDDLE  ALT=\"3.60%2F.72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 5 ea 3 ct stamps<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the number of 8 cent stamps in the collection.<BR>\n" );
document.write( "y = 3x -1<BR>\n" );
document.write( "y = 3(5) - 1<BR>\n" );
document.write( "y = 14 ea 8 ct stamps<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "check solution <BR>\n" );
document.write( "z = 14-6 = 8 ea 15 ct stamps<BR>\n" );
document.write( ".03(5) + .08(14) + .15(8) = 2.47<BR>\n" );
document.write( ".15 + 1.12 + 1.20 = 2.47; confirms our solutions </SPAN>\n" );
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