document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120748>Question 1120748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "the total mass of A, B C D was 280kg. If the mass of A decreased by 30kg, the mass of B was increased by 10kg, the mass of C was halved and the mass of D was tripled, the 4 masses would be equal. Find the mass of each.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736433 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the total mass of A, B C D was 280kg.<BR>\n" );
document.write( "a + b + c + d = 280<BR>\n" );
document.write( " If the mass of A decreased by 30kg, the mass of B was increased by 10kg,<BR>\n" );
document.write( " the mass of C was halved and the mass of D was tripled, the 4 masses would be equal<BR>\n" );
document.write( "a - 30 = 3d<BR>\n" );
document.write( "a = (3d+30)<BR>\n" );
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document.write( "b + 10 = 3d<BR>\n" );
document.write( "b = (3d-10)<BR>\n" );
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document.write( ".5c = 3d<BR>\n" );
document.write( "c = 6d<BR>\n" );
document.write( "Replace a, b, c in the first equation<BR>\n" );
document.write( "(3d+30) + (3d-10) + 6d + d = 280<BR>\n" );
document.write( "combine like terms<BR>\n" );
document.write( "13d + 20 = 280<BR>\n" );
document.write( "13d = 280 - 20<BR>\n" );
document.write( "13d = 260<BR>\n" );
document.write( "d = 260/13<BR>\n" );
document.write( "d = 20 kg<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a = 3(20) + 30<BR>\n" );
document.write( "a = 90 kg<BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = 3(20) - 10<BR>\n" );
document.write( "b = 50 kg<BR>\n" );
document.write( "and<BR>\n" );
document.write( "c = 6(20)<BR>\n" );
document.write( "c = 120 kg<BR>\n" );
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document.write( "Check: 90 + 50 + 120 + 20 = 280<BR>\n" );
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document.write( " </SPAN>\n" );
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