document.write( "Question 205320: I have 600 meters of fabric, 3 products with 3 different yields, 1st product yields 1.5 per meter, 2nd product yields 2 per meter, 3rd yields 3 per meter need to produce 3 equal amounts of product. I want this in an excel spread sheet and cannot solve. This is a real life question no textbook \n" ); document.write( "
Algebra.Com's Answer #154992 by scott8148(6628) You can put this solution on YOUR website! you have the total length of fabric, so you neeed the lengths of the products\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"1st product yields 1.5 per meter\" ___ Lf = 1 / 1.5 = 2 / 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"2nd product yields 2 per meter\" ___ Ls = 1 / 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"3rd yields 3 per meter\" ___ Lt = 1 / 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = \"amount of each product\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(Lf) + x(Ls) + x(Lt) = 600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2/3 x + 1/2 x + 1/3 x = 600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by 6 (Lowest Common Denominator) ___ 4x + 3x + 2x = 3600 ___ 9x = 3600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "dividing by 9 ___ x = 400 \n" ); document.write( " |