document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27475>Question 27475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 230 second song is divided into three parts.  The beginning, middle and end.  The beginning is one-sixth as long as the end.  The middle is one half as long as the end.  Find the length of each part.  Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14917 by </B><A HREF=/tutors/aboutme.mpl?userid=MOD><B>MOD(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MOD><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=14917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm here to help.\r<BR>\n" );
document.write( "\n" );
document.write( "Here is the equation we will be using.\r<BR>\n" );
document.write( "\n" );
document.write( "If x = the end of the song then we can say that x * 1/6 = the beginning and x * 1/2 = the middle.\r<BR>\n" );
document.write( "\n" );
document.write( "230 = x + x * (1/6) + x * (1/2)\r<BR>\n" );
document.write( "\n" );
document.write( "First we need to find a common denominator.  I found that 1 and 2 both go into 6.  So I will multiply my first x by 6/6 because 6/6 is still equal to 1.  Then I will multiply 1/2 by 3/3 because it is equal to one and it will give me a common denominator of 6 so I can add each of the expressions.\r<BR>\n" );
document.write( "\n" );
document.write( "230 = x * (6/6) + x * (1/6) + x * (3/6)\r<BR>\n" );
document.write( "\n" );
document.write( "Next add them together.\r<BR>\n" );
document.write( "\n" );
document.write( "230 = x * 10/6 or (reduced) 230 = x * (5/3)\r<BR>\n" );
document.write( "\n" );
document.write( "Now we must get X by itself.\r<BR>\n" );
document.write( "\n" );
document.write( "So you must multiply the reciprocal of 5/3 which is 3/5 to both sides of the equation.\r<BR>\n" );
document.write( "\n" );
document.write( "(3/5) * 230 = x * (5/3) * (3/5)\r<BR>\n" );
document.write( "\n" );
document.write( "690/5 = x\r<BR>\n" );
document.write( "\n" );
document.write( "138 = x\r<BR>\n" );
document.write( "\n" );
document.write( "So the end of the song is 138 seconds long.  Now to find the length of the middle and the end we can substitute 138 for x in our equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "230 = 138 + 138 * (1/6) + 138 * (1/2)\r<BR>\n" );
document.write( "\n" );
document.write( "230 = 138(End) + 23(Beginning) + 69(Middle)\r<BR>\n" );
document.write( "\n" );
document.write( "230 = 230<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );