document.write( "Question 211424: A 45 foot rope is to be cut into 3 pieces. The second piece must be twice as long as the first piece and the third piece must be 9 feet longer than 3 times the length of the second piece. How long should each of the three pieces be?\r
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document.write( "I know:\r
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document.write( "x= the 1st piece
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document.write( "2x= the second piece \n" );
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Algebra.Com's Answer #159783 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! You are correct!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = first piece \n" ); document.write( "2x = second piece \n" ); document.write( "3(2x) + 9 = third piece\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add them up for the equation: \n" ); document.write( "x + 2x + 6x + 9 = 45 \n" ); document.write( "9x + 9 = 45 \n" ); document.write( "9x = 36 \n" ); document.write( "x = 4 First piece \n" ); document.write( "2x = 8 Second piece \n" ); document.write( "6x+ 9 \n" ); document.write( "6*4 + 9 =24+9=33 Third piece\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: See if it adds up to 45 feet \n" ); document.write( "4 + 8+ 33 = 12+ 33 = 45 \r \n" ); document.write( "\n" ); document.write( "It checks!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For additonal explanation, examples, and exercises like these Word Problems, please see my own website by clicking on my tutor name \"Rapaljer\" anywhere in algebra.com. Look for \"Basic, Intermediate, and College Algebra: One Step at a Time\". Choose \"Basic Algebra\" and look in Chapter 1 for \"Word Problems\". Many of these exercises are then solved on the \"MATH IN LIVING COLOR\" pages that are associated with this section. You really need my \"non-traditional\" explanation to appreciate the fact that Word Problems aren't as hard as you thought they were!! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole Community College \n" ); document.write( "Altamonte Springs, FL 32714\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |