document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478443>Question 478443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many positive integers  less than 1000 are?divisible by7?,divisible by 7 but not by 11?,divisible by  both 7 and 11?,divisible by either 7 or 11?,divisible by exactly by one of 7 and 11?\r<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 #327813 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of positive integers n less than 1000 that are divisible by 7:<BR>\n" );
document.write( "[1000/7] = 142\r<BR>\n" );
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document.write( "The number of positive integers divisible by both 7 and 11 are those that are divisible by 77:<BR>\n" );
document.write( "[1000/77] = 12\r<BR>\n" );
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document.write( "==> The number of positive integers divisible by 7 but not by 11 is 142 - 12 = 130.\r<BR>\n" );
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document.write( "The number of positive integers less than 1000 that are divisible by 11: <BR>\n" );
document.write( "[1000/11] = 90<BR>\n" );
document.write( "==>the number of positive integers less than 1000 that are divisible by either 7 or 11 is 142 + 90 - 12 = 220.\r<BR>\n" );
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document.write( "==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and 11 is 220 - 12 = 208.<BR>\n" );
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