document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205435>Question 1205435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 15 identical reams of paper. The total mass of the box with 1/5 of all the reams of papers is 33.6 kg lighter than the box with al the reams of paper. The mass of the empty box is 2/7 of a ream of paper. What is the mass of the empty box? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842226 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "p = mass of one ream of paper in kg<BR>\n" );
document.write( "(2/7)p = mass of the empty box in kg\r<BR>\n" );
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document.write( "A = mass of empty box and 3 reams of paper<BR>\n" );
document.write( "A = (2/7)p + 3p <BR>\n" );
document.write( "A = (2/7 + 3)p <BR>\n" );
document.write( "A = (2/7 + 21/7)p <BR>\n" );
document.write( "A = (23/7)p <BR>\n" );
document.write( "Note that 3 reams is 1/5 of the total 15 reams.\r<BR>\n" );
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document.write( "B = mass of empty box and 15 reams of paper<BR>\n" );
document.write( "B = (2/7)p + 15p <BR>\n" );
document.write( "B = (2/7 + 15)p <BR>\n" );
document.write( "B = (2/7 + 105/7)p <BR>\n" );
document.write( "B = (107/7)p \r<BR>\n" );
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document.write( "Mass A is 33.6 kg lighter compared to mass B.<BR>\n" );
document.write( "A = B - 33.6<BR>\n" );
document.write( "(23/7)p = (107/7)p - 33.6<BR>\n" );
document.write( "7*(23/7)p = 7*( (107/7)p - 33.6 )<BR>\n" );
document.write( "23p = 107p - 235.2<BR>\n" );
document.write( "23p-107p = -235.2<BR>\n" );
document.write( "-84p = -235.2<BR>\n" );
document.write( "p = -235.2/(-84)<BR>\n" );
document.write( "p = 2.8<BR>\n" );
document.write( "Each ream of paper has a mass of 2.8 kg.\r<BR>\n" );
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document.write( "(2/7)*p = (2/7)*2.8 = <font color=red size=4>0.8 kg</font> is the mass of the empty box.\r<BR>\n" );
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document.write( "Notes:<BR>\n" );
document.write( "2.8 = 14/5<BR>\n" );
document.write( "0.8 = 4/5<BR>\n" );
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