One thousand liters of a solution was available, but the solution was 90% alcohol. Jim needed a solution that was 80% alcohol. How many liters of the solution needed to be extracted so the solution was 80% alcohol?

Question

Mathematics

Stanley Diaz

15 July, 06:55

One thousand liters of a solution was available, but the solution was 90% alcohol. Jim needed a solution that was 80% alcohol. How many liters of the solution needed to be extracted so the solution was 80% alcohol?

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Answers (1)

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Kaylen Odonnell · Answer 1

(1000 (90%) - x (100%)) / (1000 - x) = 80%

1000 (0.9) - x (1.0) = (1000 - x) (0.8)

900 - x = 800 - 0.8x

100 = 0.2x

500 = x

500 liters of pure alcohol had to be taken out.