document.write( "Question 271245: How many liters of water containing 5 grams of salt per liter must be combined with x liters of water which contains y grams [y is less than 2] of salt per liter to yield a solution with 2 grams of salt per liter.\r
\n" );
document.write( "\n" );
document.write( "Equation in x and y=? \n" );
document.write( "
Algebra.Com's Answer #198618 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! How many liters of water containing 5 grams of salt per liter must be combined with x liters of water which contains y grams [y is less than 2] of salt per liter to yield a solution with 2 grams of salt per liter. \n" ); document.write( "Equation in x and y=?\r \n" ); document.write( "\n" ); document.write( "let L = number of liters of 5 g/L solution\r \n" ); document.write( "\n" ); document.write( "5L + yx = 2(L+x) \n" ); document.write( "5L + yx = 2L + 2x \n" ); document.write( "3L + yx = 2x \n" ); document.write( "3L = 2x - yx = x(2-y) \n" ); document.write( "3L / (2-y) = x (this is x) \n" ); document.write( "L = x(2-y) / 3 (this is L) \n" ); document.write( "yx = 2x - 3L \n" ); document.write( "y = (2x - 3L)/x (this is y)\r \n" ); document.write( "\n" ); document.write( "L max when y=0 --> L = x(2-0) / 3 = 2x / 3 \n" ); document.write( "L min when y=2 --> L = x(2-2) / 3 = 0\r \n" ); document.write( "\n" ); document.write( "0 < L < (2x)/3\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |