Wednesday

April 23, 2014

April 23, 2014

Posted by **parth** on Tuesday, November 22, 2011 at 9:03pm.

- maths -
**Steve**, Wednesday, November 23, 2011 at 12:08amConcentrate 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 - Lehen Vinters imports a certain brand of beer. The demand, which may be ...

math - Lehen Vinters imports a certain brand of beer. The demand, which may be ...

math - in the lab, tom has two solutions that contain alcohol and is mixing them...

Math - A patient needs at least 36 units of vitamin supplement A, at least 36 ...

math - Lehen Vinters imports a certain brand of beer. The demand, which may be ...

chemistry - Identify common properties of the molecules in a compound with a ...

math - A solution of alcohol and water is a% alcohol where a = 40. The solution ...

Math - You are about to factor a quadratic equation involving some x_'s, some x'...

Math-Value of Mean - A brewery has a beer dispensing machine that dispenses beer...

algebra - of ten boxes, five contain pencils, four contain pens, and two contain...