document.write( "Question 314164: A rope that is 220 feet long needs to be cut into 6 pieces. Five pieces are the same length, and the sixth piece is three feet longer than twice the length of one of the shorter pieces. How long is each piece? \n" ); document.write( "

Algebra.Com's Answer #224580 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let X be the size of the five pieces.
\n" ); document.write( "The sixth piece is Y.
\n" ); document.write( "1. $\"Y=2X%2B3\"$
\n" ); document.write( "2. $\"5X%2BY=220\"$
\n" ); document.write( "Substitute eq. 1 into eq. 2,
\n" ); document.write( " $\"5X%2BY=220\"$
\n" ); document.write( " $\"5X%2B2X%2B3=220\"$
\n" ); document.write( " $\"7X=217\"$
\n" ); document.write( " $\"X=31\"$
\n" ); document.write( "The five pieces are 31 feet and the sixth piece is 65 feet. \n" ); document.write( "

\n" );