document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53086>Question 53086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My daughter got this word problem for school and it sounds pretty simple to me <BR>\n" );
document.write( "but I have tried everything and I am horrible at math so I need a little help <BR>\n" );
document.write( "before I throw my calculator out the window! Here is it \r<BR>\n" );
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document.write( "Linae went shopping for Kou-jong tiles at the local toy shop the other day. The kou-jong tiles were on sale for only 28 cents each. \r<BR>\n" );
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document.write( "However, she got it in her head that, for good luck, the total amount of money she must spend must be a number where all of the digits are the same. \r<BR>\n" );
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document.write( "With that in mind, what is the minimum number of tiles she must buy? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854297 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53804)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "My daughter got this word problem for school and it sounds pretty simple to me <BR>\n" );
document.write( "but I have tried everything and I am horrible at math so I need a little help <BR>\n" );
document.write( "before I throw my calculator out the window! Here is it\r<BR>\n" );
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document.write( "Linae went shopping for Kou-jong tiles at the local toy shop the other day. <BR>\n" );
document.write( "The kou-jong tiles were on sale for only 28 cents each.<BR>\n" );
document.write( "However, she got it in her head that, for good luck, the total amount of money <BR>\n" );
document.write( "she must spend must be a number where all of the digits are the same.\r<BR>\n" );
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document.write( "With that in mind, what is the minimum number of tiles she must buy?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @consc198 in his post is, OBVIOUSLY, wrong and irrelevant.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;For a correct solution see what follows.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "We want to have a positive integer number (the spent amount) where all the digits are the same,\r\n" );
document.write( "and this number should be multiple of 28. The additional condition is that this number must be minimal possible.\r\n" );
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document.write( "Since this number is a multiple of 28, it should be a multiple of 4 and a multiple of 7.\r\n" );
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document.write( "It means that we should find a minimum possible number written by ones, '1', which is a multiple of 7.\r\n" );
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document.write( "Make \"trial and error\".\r\n" );
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document.write( "111 divided by 7 gives the remainder 6.\r\n" );
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document.write( "1111 divided by 7 gives the remainder 5.\r\n" );
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document.write( "11111 divided by 7 gives the remainder 2.\r\n" );
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document.write( "111111 divided by 7 gives the remainder 0: in other words, 111111 is a multiple of 7.\r\n" );
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document.write( "It implies that 444444 is a multiple of 28.\r\n" );
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document.write( "Thus the minimum number of tiles Linae should buy to satisfy the conditions is 444444/28 = 15873.\r\n" );
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document.write( "<U>ANSWER</U>.  The minimum number of tiles Linae should buy to satisfy the conditions is 15873.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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