document.write( "Question 1047914: A 26 ft piece of rope is cut into three pieces such that the second piece is twice the first piece and the third piece is 4ft less than 3 times the first piece. Find the length of the third piece \n" ); document.write( "
Algebra.Com's Answer #663482 by stanbon(75887) ![]() You can put this solution on YOUR website! A 26 ft piece of rope is cut into three pieces such that the second piece is twice the first piece and the third piece is 4ft less than 3 times the first piece. Find the length of the third piece \n" ); document.write( "---- \n" ); document.write( "Let the pieces be f,s,t (1st,2nd,3rd) \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "f + s + t = 26 ft \n" ); document.write( "s = 2f \n" ); document.write( "t = 3f-4 \n" ); document.write( "-------------------- \n" ); document.write( "Substitute to solve for \"f\":: \n" ); document.write( "f + 2f + 3f-4 = 26 \n" ); document.write( "6f = 30 \n" ); document.write( "first = 5 ft \n" ); document.write( "-------------------- \n" ); document.write( "Ans: third = t = 3f-4 = 11 ft \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " |