document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184047>Question 1184047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fruit seller sold some apples and oranges.<BR>\n" );
document.write( "He sold 3/7 of the apples in the morning and 3/8 of the remainder in the afternoon.<BR>\n" );
document.write( "He sold 1/3 of the oranges in the morning and 1/4 of the remainder in the afternoon.<BR>\n" );
document.write( "He had sole sold the same number of apples and oranges at the end of the day.<BR>\n" );
document.write( "If there were 8 more oranges than apples left unsold, how many fruits were there at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817905 by </B><A HREF=/tutors/aboutme.mpl?userid=Octo-pie7><B>Octo-pie7(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Octo-pie7><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=Octo-pie7><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = # of apples he started with<BR>\n" );
document.write( "let o = # of oranges he started with<BR>\n" );
document.write( "3/7a were sold in the morning, so 4/7a remained.<BR>\n" );
document.write( "3/8(4/7a) were sold in the afternoon, so 5/8(4/7a) remained.<BR>\n" );
document.write( "1/3 a were sold in the morning, so 2/3 o remained.<BR>\n" );
document.write( "1/4(2/3o) were sold in the afternoon, so 3/4(2/3o) remained.<BR>\n" );
document.write( "3/8(4/7a) = 1/4(2/3o)<BR>\n" );
document.write( "5/8(4/7a) + 8 = 3/4(2/3o)<BR>\n" );
document.write( "12/36a = 2/12o => 3/14a = 1/6o<BR>\n" );
document.write( "20/36a + 8 = 6/12o => 5/14a + 8 = 1/2o<BR>\n" );
document.write( "3/14a = 1/6o<BR>\n" );
document.write( "5/14a + 8 = 1/2o<BR>\n" );
document.write( "(6)(3/14a) = (1/6o)(6) => 18/14a = o => 9/7a = o<BR>\n" );
document.write( "(-2)[(5/14a) + 8] = [1/2o] (-2) => -10/14a - 16 = -o => -5/7a - 16 = -o<BR>\n" );
document.write( "9/7a = o<BR>\n" );
document.write( "-5/7a - 16 = -o<BR>\n" );
document.write( "———————-<BR>\n" );
document.write( "4/7a - 16 = o<BR>\n" );
document.write( "        + 16   +16<BR>\n" );
document.write( "4/7a = 16<BR>\n" );
document.write( "7/4 * 4/7a = 16 * 7/4<BR>\n" );
document.write( "a = 28<BR>\n" );
document.write( "3/14 (28) = 1/6o<BR>\n" );
document.write( "6 = 1/6o<BR>\n" );
document.write( "6 * 6 = 1/6o * 6<BR>\n" );
document.write( "36 = o </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );