document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25001>Question 25001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Separate 800 into three parts, such that the sum of the first, 1/2 of the second, and 2/5 of the third is 400; and the sum of the second, 3/4 of the first, and 1/4 of the third is 400. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13413 by </B><A HREF=/tutors/aboutme.mpl?userid=quentin252><B>quentin252(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=quentin252><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=13413\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> alright...<BR>\n" );
document.write( "3 equations , 3 variables\r<BR>\n" );
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document.write( "1. x+y+z=800<BR>\n" );
document.write( "2. x+(1/2)y+(2/5)z=400<BR>\n" );
document.write( "3. y+(3/4)x+(1/4)z=400\r<BR>\n" );
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document.write( "1. x=800-y-z<BR>\n" );
document.write( "2. (800-y-z)+(1/2)y+(2/5)z=400<BR>\n" );
document.write( "  ->  400 - (1/2)y - (3/5)z = 0<BR>\n" );
document.write( "  ->  y = (400 -(3/5)z)*2 = 800 - (6/5)z<BR>\n" );
document.write( "3. (800 - (6/5)z) + (3/4)(800-(800-(6/5)z)-z)) + (1/4)z = 400<BR>\n" );
document.write( "  -> 800 - (6/5)z + (3/4)(800-800+(6/5)z-z)+(1/4)z = 400<BR>\n" );
document.write( "  -> 400 - (6/5)z + (3/4)(1/5)z + (1/4)z = 0<BR>\n" );
document.write( "  -> 400 + (-6/5 + 3/20 + 1/4)z = 0 <BR>\n" );
document.write( "  => 400 -(4/5)z = 0  -->>  (4/5)z = 400 -->>  z = 400*5/4 = 500<BR>\n" );
document.write( "  -> so y = 200 and so x = 100 </SPAN>\n" );
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