document.write( "Question 885664: How many gallons of a 12%-salt solution must be mixed with 6 gallons of a 20%-salt solution to obtain a 15%-salt solution? \n" ); document.write( "
Algebra.Com's Answer #535331 by Theo(13342)![]() ![]() You can put this solution on YOUR website! .12x + .2*6 = .15*(x+6) \n" ); document.write( "simplify to get: \n" ); document.write( ".12x + 1.2 = .15x + .9 \n" ); document.write( "subtract .9 from both sides of the equation and subtract .12x from both sides of the equation to get: \n" ); document.write( "1.2 - .9 = .15x - .12x \n" ); document.write( "simplify to get: \n" ); document.write( ".3 = -.03x \n" ); document.write( "divide both sides of this equation by -.03 to get: \n" ); document.write( "x = 10 \n" ); document.write( "that should be your answer. \n" ); document.write( "replace x in your original equation with 10 to see if that's right. \n" ); document.write( ".12x + .2*6 = .15*(x+6) becomes: \n" ); document.write( ".12*10 + .2*6 = .15*16 \n" ); document.write( "simplify this to get: \n" ); document.write( "1.2 + 1.2 = 1.5 + .9 \n" ); document.write( "simplify further by combining like terms to get: \n" ); document.write( "2.4 = 2.4 \n" ); document.write( "this is correct so the answer is good. \n" ); document.write( "10 gallons of a 12% salt solution must be mixed with 6 gallons of a 20% salt solution to get 16 gallons of a 15% solution.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |