document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119737>Question 1119737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days off, and then the pattern repeats. Assume that today is the first day of the work pattern. Answer the following questions showing the computations that support your answer.<BR>\n" );
document.write( "a. Will Julie be working 30 days from today?<BR>\n" );
document.write( "b. Julie’s niece is getting married 45 days from today. Will Julie have the day off?<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 #735327 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</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=735327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Julie, a police officer, has the following work pattern. She works 3 days, has 4 days off, then works 4 days, then has 3 days off, <BR>\n" );
document.write( "and then the pattern repeats. Assume that today is the first day of the work pattern. Answer the following questions <BR>\n" );
document.write( "showing the computations that support your answer.\r<BR>\n" );
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document.write( "a. Will Julie be working 30 days from today?\r<BR>\n" );
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document.write( "b. Julie’s niece is getting married 45 days from today. Will Julie have the day off?<BR>\n" );
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document.write( "Before answering question a), I would like to re-formulate it to make it more clear.\r<BR>\n" );
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document.write( "So, my reformulation is THIS\r<BR>\n" );
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document.write( "    a.  Will the 30-th day from today be Julie's working day or the day off ?\r\n" );
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document.write( "Now I am ready to answer.\r<BR>\n" );
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document.write( "    Notice that Julie's schedule is PERIODIC, and the period is exactly 2 weeks = 14 days.\r\n" );
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document.write( "    Thus the first day is the first day of the period;\r\n" );
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document.write( "    then the 15-th day is the first day of the second period;\r\n" );
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document.write( "    then 29-th day is the first day of the third period.\r\n" );
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document.write( "    Hence, 30-th day is the second day of the period, and it is her working day, according to the description.\r\n" );
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document.write( "The method to solve this and similar problems is to identify the period and then move forward period after period.\r<BR>\n" );
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document.write( "Or, in other words, to identify the period and throw away the integer number of periods. \r<BR>\n" );
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document.write( "You can answer the next question b) using the same method and same idea.\r<BR>\n" );
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document.write( "Please try to do it on your own.\r<BR>\n" );
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