document.write( "Question 1062652: How much water should be mixed to a 500 mL of 30% solution of alcohol to have a resulting concentration of 20%? \n" ); document.write( "
Algebra.Com's Answer #677610 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you have 500 milliliters of 30% alcohol solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want to add water to this solution so that it becomes a 20% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the amount of alcohol in the 500 milliliters is .3 * 500 = 150 milliliters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want the same amount of alcohol divided by (500 + x) milliliters to be equal to 20%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation would be 150 / (500 + x) = .2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x represents the number of milliliters of water to be added.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by (500 + x) and divide both sides of this equation by .2 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "150 / .2 = 500 + x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get 750 = 500 + x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 250.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need to add 250 milliliters of water to get a solution that is 20% alcohol.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "150 / 500 = .3 = 30%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "150 / 750 = .2 = 20% \n" ); document.write( " |