document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292147>Question 292147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A stamp collection consists of 3, 8, and 15 cent stamps.  The number of 8 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 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 #211124 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=211124\">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.<BR>\n" );
document.write( " The number of 8 stamps is one less than triple the number of 3 cent stamps.<BR>\n" );
document.write( "The number of 15 cent stamps is six less than the number of 8 cent stamps.<BR>\n" );
document.write( " The total value of all stamps is $2.47.<BR>\n" );
document.write( " Find the number of 8 cent stamps in the collection<BR>\n" );
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document.write( "Let x, y, z = the number of 3, 8, 15 cent stamps respectively<BR>\n" );
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document.write( "\"The number of 8 stamps is one less than triple the number of 3 cent stamps.\"<BR>\n" );
document.write( "y = 3x - 1<BR>\n" );
document.write( "or<BR>\n" );
document.write( "3x = y + 1<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B1%29%2F3 ALIGN=MIDDLE  ALT=\"%28y%2B1%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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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" );
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document.write( "\"The total value of all stamps is $2.47.\"<BR>\n" );
document.write( ".03x + .08y+ .15z = 2.47<BR>\n" );
document.write( "Replace x and z<BR>\n" );
document.write( ".03(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B1%29%2F3 ALIGN=MIDDLE  ALT=\"%28y%2B1%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + .08y + .15(y-6) = 2.47<BR>\n" );
document.write( "Multiply by 3 to get rid of that denominator, results<BR>\n" );
document.write( ".03(y+1) + .24y + .45(y-6) = 3(2.47)<BR>\n" );
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document.write( ".03y + .03 + .24y + .45y - 2.7 = 7.41<BR>\n" );
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document.write( ".72y - 2.67 = 7.41<BR>\n" );
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document.write( ".72y = 7.41 + 2.67<BR>\n" );
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document.write( ".72y = 10.08<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.08%2F.72 ALIGN=MIDDLE  ALT=\"10.08%2F.72\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 14 ea 8 cent stamps<BR>\n" );
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document.write( "Check our solution:<BR>\n" );
document.write( "Find the no. 3 and 15 cent stamps<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2B1%29%2F3 ALIGN=MIDDLE  ALT=\"%2814%2B1%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 5 ea 3 cent stamps<BR>\n" );
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document.write( "z = 14 - 6<BR>\n" );
document.write( "z = 8 ea 15 cent stamps<BR>\n" );
document.write( ";<BR>\n" );
document.write( ".03(5) + .08(14) + .15(8) =<BR>\n" );
document.write( ".15 + 1.12 + 1.20 = 2.47\r<BR>\n" );
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document.write( " </SPAN>\n" );
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