SOLUTION: Four thousand liters of solution was available that was 92% alcohol. How many liters of alcohol had to be extracted so that the solution would be only 80% alcohol?

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Question 67216This question is from textbook Advanced mathematics
: Four thousand liters of solution was available that was 92% alcohol. How many liters of alcohol had to be extracted so that the solution would be only 80% alcohol? This question is from textbook Advanced mathematics

Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Four thousand liters of solution was available that was 92% alcohol. How many liters of alcohol had to be extracted so that the solution would be only 80% alcohol?
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Four thousand liters of solution was available that was 92% alcohol. How many liters of alcohol had to be extracted so that the solution would be only 80% alcohol?
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92% solution DATA:
Amount = 4000 liters ;amount of alcohol= 0.92(4000)=3680 liters
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100% alcohol DATA:
Amount = x liters ; amount of alcohol = x liters
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80% solution DATA:
Amount = 4000-x liters ; amount of alcohol = 0.80(4000-x)=3200-.08x liters
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EQUATION:
alcohol - alcohol = alcohol
3680 - x = 3200-0.08x
480=0.92x
x=521.74 liters
Amount of alcohol that must be removed is 521.74 liters.
Cheers,
Stan H.

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
(4000(92%) - x(100%))/(4000 - x) = 80%
4000(0.92) - x(1.0) = (4000 - x)80%
3680 - x = 3200 - 0.8x
480 = 0.2x
2400 = x
2,400 liters of pure alcohol had to be removed.