document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=651783>Question 651783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have had this problem for a month and I can't figure out what to do.<BR>\n" );
document.write( "Maybe you can help.\r<BR>\n" );
document.write( "\n" );
document.write( "A farmer is taking her eggs to the market in a cart, but she hits a <BR>\n" );
document.write( "pothole, which knocks over all the containers of eggs.  Though she is <BR>\n" );
document.write( "unhurt, every egg is broken.  So she goes to her insurance agent, who <BR>\n" );
document.write( "asks her how many eggs she had.  She says she doesn't know, but she <BR>\n" );
document.write( "remembers somethings from various ways she tried packing the eggs.\r<BR>\n" );
document.write( "\n" );
document.write( "When she put the eggs in groups of two, three, four, five, and six <BR>\n" );
document.write( "there was one egg left over, but when she put them in groups of seven <BR>\n" );
document.write( "they ended up in complete groups with no eggs left over.\r<BR>\n" );
document.write( "\n" );
document.write( "What can the farmer figure from this information about the number of <BR>\n" );
document.write( "eggs she had?  Is there more than one answer?\r<BR>\n" );
document.write( "\n" );
document.write( "I have already tried multiples of seven, but I can't figure the <BR>\n" );
document.write( "answer out.  Could you please tell me how to get the answer and also <BR>\n" );
document.write( "tell me what it is?\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for your help.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407812 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=407812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When she put the eggs in groups of two, three, four, five, and six <BR>\n" );
document.write( "there was one egg left over, but when she put them in groups of seven <BR>\n" );
document.write( "they ended up in complete groups with no eggs left over. <BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "(x-1)/2 = y1<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x-1)/3 = y2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "(x-1)/4 = y3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "(x-1)/5 = y4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(x-1)/6 = y5<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x/7 = y6<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "I used a TI-84 and looked for the x value that gave<BR>\n" );
document.write( "an integer solution for all of the above equations.<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Ans: x = 301 eggs<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );