document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114708>Question 114708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help my problem solving. (a 165 rope is cut into 3 pieces, the second piece is twice as long as the first. the third is 4 times as long as the second. how long is each piece of rope?) thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83485 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=83485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the length of the first piece of rope.<BR>\n" );
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document.write( "The second piece of rope is twice as long as the first piece. Therefore, the length of <BR>\n" );
document.write( "the second piece is 2*x.<BR>\n" );
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document.write( "The third piece is 4 times as long as the second piece. So it is 4 times 2*x which is 8*x<BR>\n" );
document.write( "in length.<BR>\n" );
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document.write( "The lengths of all three pieces add up to be 165. In equation form this means that:<BR>\n" );
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document.write( "x + 2x + 8x = 165<BR>\n" );
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document.write( "Adding all three terms on the left side results in:<BR>\n" );
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document.write( "11x = 165<BR>\n" );
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document.write( "Solve for x by dividing both sides of this equation by 11 and the equation becomes:<BR>\n" );
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document.write( "x = 165/11 = 15<BR>\n" );
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document.write( "This means the length of the first piece is 15. The second piece is twice that, so the<BR>\n" );
document.write( "length of the second piece is 30. And the third piece is 4 times as long as the second piece<BR>\n" );
document.write( "so the length of the third piece is 4 times 30 or 120.<BR>\n" );
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document.write( "In summary, the three pieces are 15, 30, and 120 in length.<BR>\n" );
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document.write( "Check: do 15, 30, and 120 add up to 165? Yes, they do ... and they meet the requirements<BR>\n" );
document.write( "that the second is twice the first and the third is four times the second. The answer checks.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how to solve it.<BR>\n" );
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