document.write( "Question 211376: a piece of wire 4m long is cut into two pieces so that one piece is two thirds as long as the other. Find the length of the other piece... \n" ); document.write( "
Algebra.Com's Answer #159743 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = first piece (one piece) \n" ); document.write( "4-x = second piece (the other piece)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Write the equation: \n" ); document.write( "x = 2/3(4-x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply both sides by the denominator 3 to clear the fraction: \n" ); document.write( "3x = 2(4-x) \n" ); document.write( "3x= 8 -2x \n" ); document.write( "5x=8 \n" ); document.write( "x=8/5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The \"other piece\" is 4-x, which is 4-8/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Get a common denominator of 5 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It's ugly, but that is your final answer!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \"One piece is 2/3 the other\" \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 \n" ); document.write( " |