document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042634>Question 1042634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the opening home game of the baseball season, the Madd Batters minor league baseball team offered the following incentives to its fans:<BR>\n" );
document.write( "Every 75th fan who entered the stadium got a coupon for a free hot dog.<BR>\n" );
document.write( "Every 30th fan who entered the stadium got a coupon for a free cup of soda.<BR>\n" );
document.write( "Every 50th fan who entered the stadium got a coupon for a free bag of popcorn.\r<BR>\n" );
document.write( "\n" );
document.write( "The stadium holds 4000 fans and was completely full for this game. How many of the fans at the game were lucky enough to receive all three free items?\r<BR>\n" );
document.write( "\n" );
document.write( "Answer: 26 fans (How?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657631 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need the LCM, least common multiple of<BR>\n" );
document.write( "75, 30, and 50<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The LCM is 150<BR>\n" );
document.write( "30*5 = 150<BR>\n" );
document.write( "50*3 = 150<BR>\n" );
document.write( "75*2 = 150<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "How many times does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+ ALIGN=MIDDLE  ALT=\"+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "come around in a count to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4000+ ALIGN=MIDDLE  ALT=\"+4000+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4000%2F150+=+26.6667+ ALIGN=MIDDLE  ALT=\"+4000%2F150+=+26.6667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+26%2A150+=+3900+ ALIGN=MIDDLE  ALT=\"+26%2A150+=+3900+\"   DISABLED_style= \"max-width:90%; height:auto;\" > fans get counted,<BR>\n" );
document.write( "and 26 get all 3 items, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4000+-+3900+=+100+ ALIGN=MIDDLE  ALT=\"+4000+-+3900+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fans get counted. 1 fan get a hot dog, 3 fans get sodas,<BR>\n" );
document.write( "2 fans get popcorn, but there would have to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150+ ALIGN=MIDDLE  ALT=\"+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fans left after counting 3900, in order for the last fan to get<BR>\n" );
document.write( "all 3 items once again<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3900+%2B+150+=+4050+ ALIGN=MIDDLE  ALT=\"+3900+%2B+150+=+4050+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4050%2F150+=+27+ ALIGN=MIDDLE  ALT=\"+4050%2F150+=+27+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "They don't make it to 27, so 26 is the answer<BR>\n" );
document.write( "Hope I didn't confuse you. The numbers do<BR>\n" );
document.write( "tell the story </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );