SOLUTION: 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?

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?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Notice that 4% is of 6%.
Add 1 liter of water.

Literal transcription with algebra to solve:
x, how much volume water to add;

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Here are two other solution methods for this kind of problem....

(1) The 2 liters of 6% baneberry extract contain 2(.06) = 0.12 liters of extract.

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.

So the amount of water added was 3-2 = 1 liter.

(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.
RELATED QUESTIONS
How much water must be added to a 6-liter solution that contains 8% extract (answered by Alan3354)
How much water must be added to a 5-liter solution that contains 4% extract of... (answered by josgarithmetic)
How water must Poison Ivy add to a 4 liter solution that contains 5% extract of baneberry (answered by gonzo,Mathtut)
How many quarts of pure antifreeze must be added to 6 quarts of a 20% antifreeze... (answered by Alan3354)
How many liters of a 70% acid solution must be mixed with a 15% acid... (answered by josgarithmetic)
How many quarts of pure antifreeze must be added to 5 quarts of a 10% antifreeze... (answered by addingup,ikleyn,Edwin McCravy)
How many quarts of pure antifreeze must be added to 5 quarts of a 10% antifreeze... (answered by ankor@dixie-net.com)
A chemist has one liter of a solution that is 90% acid. How much water must be added to... (answered by stanbon)
A pharmacist has 200 milliliters of a solution that is 20% active ingredient. How... (answered by josgarithmetic)

SOLUTION: How much water must be added to a 2&#8203;-liter solution that contains 6&#8203;% extract of baneberry to get a solution that contains 4&#8203;% extract of&#8203; baneberry?

SOLUTION: 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?