Multiple choice

A container contained 80 litres of a mixture of two liquids A and B. When 55% of the total mixture was drawn out, it was found that the drawn-out mixture contained 70% liquid A and 30% liquid B. What were the initial quantities of liquid A and liquid B in the container?

  1. A = 56 L, B = 24 L

  2. A = 55 L, B = 25 L

  3. A = 60 L, B = 20 L

  4. A = 30 L, B = 50 L

  5. A = 25 L, B = 55 L
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A Correct answer
Explanation

Total mixture = 80L. 55% drawn = 44L. The drawn mixture has 70% A and 30% B. A drawn = 0.7 * 44 = 30.8L. B drawn = 0.3 * 44 = 13.2L. This implies the mixture was not uniform or the question implies the initial composition. If the mixture was 70% A and 30% B initially, A = 0.7 * 80 = 56, B = 0.3 * 80 = 24.

AI explanation

Since the drawn-out mixture of 44 litres (which is 55% of 80 litres) contains 70% liquid A and 30% liquid B, the entire 80 litre container must have the exact same composition. The initial quantity of liquid A is 70% of 80 litres, which equals 56 litres. The initial quantity of liquid B is 30% of 80 litres, which equals 24 litres. The initial quantities were A = 56 L and B = 24 L.

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