document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962618>Question 962618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You pay $25 to be member of a discount club at the bookstore. You pay .8 of the regular price of each book you buy. on one shopping trip to the bookstore, is it possible that the total cost of the books you buy could be the same with and without being a member of the discount club. Justify your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #588162 by </B><A HREF=/tutors/aboutme.mpl?userid=hkwu><B>hkwu(60)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hkwu><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=hkwu><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=588162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes. Let C be the total cost of buying your books, and let b be the cost of each book. If you had the membership, your total cost would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=0.8b%2B25 ALIGN=MIDDLE  ALT=\"C=0.8b%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and if you didn't, it would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=b ALIGN=MIDDLE  ALT=\"C=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting the equations gives<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=0.8b%2B25 ALIGN=MIDDLE  ALT=\"b=0.8b%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.2b=25 ALIGN=MIDDLE  ALT=\"0.2b=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=125 ALIGN=MIDDLE  ALT=\"b=125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thus you would pay the same amount if you bought a book worth $125.<BR>\n" );
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document.write( "Leave a message if I helped. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );