document.write( "Question 1051779: A 22-foot rope is cut into 2 pieces. Seven less than four times the length of the longer rope piece x is five times the length of the shorter piece, which is (22 − x) ft. Find the length of the longer rope piece x (in ft). \n" ); document.write( "
Algebra.Com's Answer #667228 by Boreal(15235)\"\" \"About 
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seven less than 4 times something is 4x-7, if x is the \"something\".
\n" ); document.write( "4x-7=5(22-x)
\n" ); document.write( "4x-7=110-5x
\n" ); document.write( "9x=117
\n" ); document.write( "x=13 ft.
\n" ); document.write( "That is the longer part of the rope
\n" ); document.write( "the shorter is 22-x, or 9 feet.
\n" ); document.write( "4x-7=45.
\n" ); document.write( "5(22-x)=5(9)=45.
\n" ); document.write( "This checks.
\n" ); document.write( "The shorter piece is 9 ft, the longer 13 ft.
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