document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296197>Question 296197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To enter a very private garden you need to go through four doors. At each door you must pay an entry fee. If you pay $x at a given door, then you must pay $(2x + 1) at the next door. If it costs a total of $86 to get through the four doors, how much did you pay to get through the first door?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213487 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=213487\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To enter a very private garden you need to go through four doors. At each door you must pay an entry fee. If you pay $x at a given door, then you must pay $(2x + 1) at the next door. If it costs a total of $86 to get through the four doors, how much did you pay to get through the first door?<BR>\n" );
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document.write( "1st: x<BR>\n" );
document.write( "2nd: 2x+1<BR>\n" );
document.write( "3rd: 2(2x+1)+1 = 4x+3<BR>\n" );
document.write( "4th: 2(4x+3)+1 = 8x+7<BR>\n" );
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document.write( "Solve: x + 2x+1 + 4x+3 + 8x+7 = 86<BR>\n" );
document.write( "15x + 11 = 86<BR>\n" );
document.write( "15x = 75<BR>\n" );
document.write( "x = $5<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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