document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56811>Question 56811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This says to use systems of equations to solve:  I need help. Thanks!\r<BR>\n" );
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document.write( "There is an initiation fee to join the Pine River Country Club, as well as monthly dues.  The total cost after 7 months' membership will be $3025, and after 18 mos, $3850.  Find both the initiation fee and the monthly dues.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38564 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=38564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is an initiation fee to join the Pine River Country Club, as well as monthly dues. The total cost after 7 months' membership will be $3025, and after 18 mos, $3850. Find both the initiation fee and the monthly dues. <BR>\n" );
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document.write( "Let \"d\" be the dues per month and i be the initiation fee:<BR>\n" );
document.write( "Cost(7 months) = i+7d=3025<BR>\n" );
document.write( "Cost(18 months)= i+18d=3850<BR>\n" );
document.write( "1st: i+7d=3025<BR>\n" );
document.write( "2nd: i+18d=3850<BR>\n" );
document.write( "Subtract 1st from 2nd to get:<BR>\n" );
document.write( "3rd: 11d=825<BR>\n" );
document.write( "dues= $75.00 per month<BR>\n" );
document.write( "Substitue this value of d into 1st to solve for \"i\":<BR>\n" );
document.write( "i+7(75)=3025<BR>\n" );
document.write( "i= $2500.00 (this is the initiation fee)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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