document.write( "Question 164082: An 18in piece of wire is cut into 3 peices. The third piece is 4 inches more than half the second piece and the first piece is 2 inches shorter than the third piece. Find the length of these three pieces. \n" ); document.write( "
Algebra.Com's Answer #120904 by elima(1433) ![]() You can put this solution on YOUR website! x = length of the pieces \n" ); document.write( "2nd piece = x \n" ); document.write( "3rd piece = 1/2x+4 \n" ); document.write( "1st piece = 3rd piece - 2 = (1/2x+4)-2 \n" ); document.write( "Now lets add the pieces together and have them = 18; \n" ); document.write( "x + 1/2x+4 + (1/2x+4)-2 =18 \n" ); document.write( "x+ x+4+2=18 \n" ); document.write( "2x+6=18 \n" ); document.write( "2x=12 \n" ); document.write( "x=6 \n" ); document.write( "Now we have the length of the 2nd, lets plug this into the others to find their length; \n" ); document.write( "3rd = 1/2(6)+4 \n" ); document.write( "3rd = 3+4= 7 \n" ); document.write( "1st = 7-2 = 5 \n" ); document.write( "check; \n" ); document.write( "5+6=11+7=18 \n" ); document.write( ":) \n" ); document.write( " |