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)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |