document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=513355>Question 513355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Forty students bought caps at the baseball game.  Plain caps cost $4 each and deluxe ones cost $6 each. If the total bill was $236, how many students bought the deluxe cap? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342975 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=342975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = number of plain caps<BR>\n" );
document.write( "4p = price of plain caps<BR>\n" );
document.write( "d = number of deluxe caps<BR>\n" );
document.write( "6d = price of deluxe caps<BR>\n" );
document.write( ".<BR>\n" );
document.write( "p + d = 40<BR>\n" );
document.write( "so<BR>\n" );
document.write( "p = 40-d<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4p + 6d = 236<BR>\n" );
document.write( ".<BR>\n" );
document.write( "substitute p = 40-d<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4*(40-d) + 6d = 236<BR>\n" );
document.write( ".<BR>\n" );
document.write( "160 -4d + 6d = 236<BR>\n" );
document.write( ".<BR>\n" );
document.write( "2d = 76<BR>\n" );
document.write( ".<BR>\n" );
document.write( "d = 38<BR>\n" );
document.write( ".<BR>\n" );
document.write( "p = 40-d<BR>\n" );
document.write( "p = 40-38<BR>\n" );
document.write( "p = 2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "They appear to have bought 38 deluxe caps and 2 plain caps.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "But always check your answer!  (I got it wrong the first time myself, and I've been doing algebra for 45 years.)<BR>\n" );
document.write( "You used the first equation to find p, so you need to use the other equation to check the solution.<BR>\n" );
document.write( "(Don't fall into the trap of using the same equation twice.)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4p + 6d = 236<BR>\n" );
document.write( "4(2) + 6(38) = ??<BR>\n" );
document.write( "8 + 228 = 236<BR>\n" );
document.write( "Correct.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer:  38 students bought deluxe caps.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );