document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202920>Question 1202920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eugene received many emails over the weekend. 2/7 of the emails were work related and 7/10 of the remaining mails were from friends. 3/4 of the remaining emails were advertisements. Given that Eugene received 14 more emails from work than from advertisements, how many emails did he get over the weekend?<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 #838123 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Fraction that were work related: 2/7<br><BR>\n" );
document.write( "Fraction remaining: 1 - 2/7 = 5/7<br><BR>\n" );
document.write( "Fraction that were from friends: 7/10 of the remaining = (7/10)(5/7) = 5/10 = 1/2<br><BR>\n" );
document.write( "Fraction remaining: 1 - 2/7 - 1/2 = 14/14 - 4/14 - 7/14 = 3/14<br><BR>\n" );
document.write( "Fraction that were advertisements: 3/4 of the remaining = (3/4)(3/14) = 9/56<br><BR>\n" );
document.write( "He got 14 more emails from work than from advertisements:<br><BR>\n" );
document.write( "(2/7)x - (9/56)x = 14<BR>\n" );
document.write( "(16/56) - (9/56)x = 14<BR>\n" );
document.write( "(7/56)x = 14<BR>\n" );
document.write( "(1/8)x = 14<BR>\n" );
document.write( "x = 14*8 = 112<br><BR>\n" );
document.write( "ANSWER: 112<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "total: 112<BR>\n" );
document.write( "work: (2/7)(112) = 32<BR>\n" );
document.write( "other: 112-32 = 80<BR>\n" );
document.write( "friends: (7/10)(80) = 56<BR>\n" );
document.write( "other: 80-56 = 24<BR>\n" );
document.write( "advertisements: (3/4)(24) = 18<BR>\n" );
document.write( "work minus advertisements: 32-18 = 14<br><BR>\n" );
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