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A certain amount of pure water is added to 10 liters of a 70% alcohol solution to make at most 40% alcohol solution. How many be added?
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Answer:
How many liters of alcohol must be added to 40 liters of a mixture which is 65% alcohol to obtain a mixture which is 80% alcohol?
65% is 65/100 = 0.65
80% is 80/100 = 0.80
Let x litres of alcohol to be added to 40 litre of mixture
Therefore
0.65 (40 L ) + x = 0.80 (40 L + x)
40 × 0.65 + x = 40 × 0.80 + 0.80x
26 + x = 32 + 0.80x
x - 0.80x = 32 - 26
0.20x = 6
x = 6 / 0.20
x = 30 litres
Answer 30 litres of alcohol to be added to make the mixture 80% from 65%
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