document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120619>Question 1120619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Object A is 5kg heavier than the Object B and the mass of Object C is twice the mass of Object A. If the total mass of the three objects is 255kg, find the mass of Object C.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736275 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = mass of object A<BR>\n" );
document.write( "y = mass of object B<BR>\n" );
document.write( "z = mass of object C\r<BR>\n" );
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document.write( "object A is 5 kg heavier than object B\r<BR>\n" );
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document.write( "x = y + 5\r<BR>\n" );
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document.write( "object C is twice the mass of object A\r<BR>\n" );
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document.write( "z = 2 * x\r<BR>\n" );
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document.write( "total mass is 255 kg.\r<BR>\n" );
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document.write( "x + y + z = 255\r<BR>\n" );
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document.write( "x = y + 5 leads to y = x - 5 as follows:<BR>\n" );
document.write( "start with x = y + 5<BR>\n" );
document.write( "subtract 5 from both sides to get x - 5 = y\r<BR>\n" );
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document.write( "replace y with x - 5 and replace z with 2 * x in the equation of x + y + z = 255.\r<BR>\n" );
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document.write( "you will get x + x - 5 + 2 * x = 255\r<BR>\n" );
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document.write( "combine like terms to get 4 * x - 5 = 255\r<BR>\n" );
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document.write( "add 5 to both sides to get 4 * x = 260\r<BR>\n" );
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document.write( "divide both sides by 4 to get x = 65\r<BR>\n" );
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document.write( "x = 65<BR>\n" );
document.write( "y = x - 5 = 60<BR>\n" );
document.write( "z = 2 * x = 130\r<BR>\n" );
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document.write( "x + y + z = 255 becomes 65 + 60 + 130 = 255 which becomes 255 = 255 which is true.\r<BR>\n" );
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document.write( "x = y + 5 becomes 65 = 60 + 5 which becomes 65 = 65 which is true.\r<BR>\n" );
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document.write( "z = 2 * x becomes 130 = 2 * 65 which becomes 230 = 230 which is true.\r<BR>\n" );
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document.write( "solution is confirmed to be true.\r<BR>\n" );
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document.write( "solution is the mass of object C = z which is equal to 130. </SPAN>\n" );
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