Posted by parth on Tuesday, November 22, 2011 at 9:03pm.
Concentrate on the amount of alcohol. No matter how much water is sloshed around in various concentrations, the amount of alcohol is what you want to keep track of.
You have n liters of 6.5% beer, and thus 600-n liters of 8% beer
Alcohol in n liters of 6.5% = .065n
Alcohol in 600-n liters of 8% = .08(600-n)
At the end, you have 600 liters of 7% beer, holding 600*.07 alcohol.
Add things up:
.065n + .08(600-n) = .07*600
.065n + 48 - .08n = 42
.015n = 6
n = 400
So, mix 400 liters of 6.5% beer with 200 liters of 8% beer
Note that 7% is 1/3 of the way between 6.5% and 8%. Thus, you need twice as much 6.5% beer as 8% beer.
Related Questions
math - in the lab, tom has two solutions that contain alcohol and is mixing them...
math - A solution of alcohol and water is a% alcohol where a = 40. The solution ...
math - how many oz of 25% alcohol solution must be mixed with 14oz of 30oz ...
health - Which of the following statements about alcohol is true? A. Alcoholic ...
algebra - moonshine has 50 liters of a 70% alcohol solution.how many liters of ...
algebra - How many kilograms of pure alcohol must be added to 40 kg of a 70% ...
Math please - A 75% alcohol concentration mixture of water and alcohol was made ...
chem - A sample of an alcohol is tested and found to contain 52% carbon, 35% ...
Chemistry - Rubbing alcohol is a 90 mass % solution of isopropyl alcohol, C3H8O...
MATH HELP - In what proportion should 95% alcohol be mixed with 30% alcohol to ...
For Further Reading
