document.write( "Question 211424: A 45 foot rope is to be cut into 3 pieces. The second piece must be twice as long as the first piece and the third piece must be 9 feet longer than 3 times the length of the second piece. How long should each of the three pieces be?\r
\n" ); document.write( "\n" ); document.write( "I know:\r
\n" ); document.write( "\n" ); document.write( "x= the 1st piece
\n" ); document.write( "2x= the second piece \n" ); document.write( "

Algebra.Com's Answer #159782 by nerdybill(7384) $\"\"$ $\"About$

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A 45 foot rope is to be cut into 3 pieces. The second piece must be twice as long as the first piece and the third piece must be 9 feet longer than 3 times the length of the second piece. How long should each of the three pieces be?
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\n" ); document.write( "Good start:
\n" ); document.write( "x= the 1st piece
\n" ); document.write( "2x= the second piece
\n" ); document.write( "From: \"the third piece must be 9 feet longer than 3 times the length of the second piece\" we have:
\n" ); document.write( "3(2x)+9 = the third piece
\n" ); document.write( ".
\n" ); document.write( "x + 2x + 3(2x)+9 = 45
\n" ); document.write( "x + 2x + 6x + 9 = 45
\n" ); document.write( "9x + 9 = 45
\n" ); document.write( "9x = 36
\n" ); document.write( "x = 4 feet (1st piece)
\n" ); document.write( ".
\n" ); document.write( "2x= 2*4= 8 feet (2nd piece)
\n" ); document.write( ".
\n" ); document.write( "3(2x)+9 = 3(8)+9 = 24+9 = 33 feet (3rd piece) \n" ); document.write( "

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