document.write( "Question 262355: I need help on finding an equation for this problem: A 29 inch rope is cut into 3 pieces, the middle sized piece is 1 inch longer than the shorter piece and the longest piece is twice as long as the short piece. How long is each piece? \n" ); document.write( "

Algebra.Com's Answer #193282 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
OK.
\n" ); document.write( "Let x=the shorter piece
\n" ); document.write( "Then x+1=middle sized piece (we are told this)
\n" ); document.write( "And 2x=the longest piece (we are told this also)\r
\n" ); document.write( "\n" ); document.write( "And we know that the three pieces must add up to 29 inches. So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "x+x+1+2x=29 collect like terms
\n" ); document.write( "4x+1=29 subtract 1 from each side
\n" ); document.write( "4x+1-1=29-1 collect like terms again
\n" ); document.write( "4x=28 divide each side by 4
\n" ); document.write( "x=7 in---------------shorter piece
\n" ); document.write( "x+1=7+1=8 in---------------middle sized piece
\n" ); document.write( "2x=2*7=14 in-----------------longest piece
\n" ); document.write( "CK
\n" ); document.write( "7+8+14=29
\n" ); document.write( "29=29\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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