document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069453>Question 1069453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a large truck and my neighbor has four identical small trucks. My truck can carry at least 800 pounds more than each of her trucks, but no more than one-third what all four of her trucks combined can carry. Knowing only these facts, what is the largest number of pounds that I can be assured of being able to carry in my truck? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684688 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let W = the weight that the large truck can carry.<BR>\n" );
document.write( "Let w = the weight that each of the small trucks can carry.<BR>\n" );
document.write( "The large truck can carry at least 800 pounds more than one of the small trucks:<BR>\n" );
document.write( "W = w + 800 -> w = W - 800 [1]<BR>\n" );
document.write( "Also, the large truck can carry no more than 1/3 of what all four of the small trucks combined can carry:<BR>\n" );
document.write( "W = 1/3(4w) = (4/3)w<BR>\n" );
document.write( "Substituting [1] gives W = (4/3)(W-800) -> W/3 = 3200/3, or W = 3200<BR>\n" );
document.write( "Ans: 3200 lbs.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );