Let the volume of 20% sol be x Then volume of 60% sol is 200 - x Alcohol in 20% sol =Alcohol in 60% sol = If the final solution is of 54% concentration, it means the volume of alcohol in it = So we have the equation So he takes 30 ml of 20% alcohol and 170 ml of 60% alcohol Check: 30 ml contains 30 * 20% = 6 ml of alcohol 170 ml contains 170 * 60% = 102 ml of alcohol Total alcohol = 6 + 102 = 108 which is 54% of 200 ml. Correct! :)