document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=583447>Question 583447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of students decided to create gift bags of cookies to give to the elderly. Students brought in as many cookies as they wanted to donate, and they gathered their cookies together before creating little gift bags. They gathered a lot of cookies, and they noticed some interesting patterns. When the cookies were divided into groups of two, there was one cookie left over. When the cookies were divided into groups of three, there was one cookie left over. When the cookies were divided into groups of four, there was one cookie left over. When the cookies were divided into groups of five or six, there was one cookie lefty over. But when the cookies were into groups of seven, there were no cookies left over. Based on these clues, what is the smallest number of cookies that the students could have gathered? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372450 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=372450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the cookies were divided into groups of two, there was one cookie left over. When the cookies were divided into groups of three, there was one cookie left over. When the cookies were divided into groups of four, there was one cookie left over. When the cookies were divided into groups of five or six, there was one cookie lefty over. But when the cookies were into groups of seven, there were no cookies left over. <BR>\n" );
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document.write( "Enter these equations in your scientific calculator:<BR>\n" );
document.write( "Y1 = (x-1)/2<BR>\n" );
document.write( "Y2 = (x-1)/3<BR>\n" );
document.write( "Y3 = (x-1)/4<BR>\n" );
document.write( "Y4 = (x-1)/5<BR>\n" );
document.write( "Y5 = (x-1)/6<BR>\n" );
document.write( "Y6 = x/7<BR>\n" );
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document.write( "Solution: x = 301<BR>\n" );
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document.write( "Found by looking for an x-value that has whole number <BR>\n" );
document.write( "y-values for ALL of the 6 equations. (Use the TABLE of a TI-84.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );