document.write( "Question 1119116: How much water must be added to a 2-liter solution that contains 6% extract of baneberry to get a solution that contains 4% extract of baneberry? \n" ); document.write( "
Algebra.Com's Answer #734606 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Here are two other solution methods for this kind of problem.... \n" ); document.write( "(1) The 2 liters of 6% baneberry extract contain 2(.06) = 0.12 liters of extract. \n" ); document.write( "After the water is added, those 0.12 liters of extract are now 4% of the mixture; that means the amount of the mixture is 0.12/0.04 = 3 liters. \n" ); document.write( "So the amount of water added was 3-2 = 1 liter. \n" ); document.write( "(2) You are mixing two ingredients with 6% and 0% extract. The percentage of the mixture, 4%, is \"twice as close\" to 6% as it is to 0%; that means the mixture must contain twice as much of the 6% ingredient as the 0% ingredient. So the 2 liters of the 6% ingredient is twice the amount of the 0% ingredient, making the amount of the 0% ingredient 1 liter. \n" ); document.write( " |