Multiple choice

In jar A, 180 litres of milk was mixed with 36 litres of water. Some of the mixture was taken out from jar A and put in jar B. If after adding 6 litres of water to the mixture, the ratio of milk to water in jar B was 5 : 2, then what was the amount of mixture that was taken out from jar A (in litres)?

  1. 24

  2. 54

  3. 30

  4. 36

  5. 42
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Jar A has 180L milk, 36L water. Ratio 5:1. Let x be the amount of mixture taken out. Milk taken = (5/6)x, Water taken = (1/6)x. In Jar B, after adding 6L water, Milk = (5/6)x, Water = (1/6)x + 6. Ratio = 5:2. (5/6)x / ((1/6)x + 6) = 5/2. 10/6 * x = 5/6 * x + 30. (5/6)x = 30. x = 36.

AI explanation

The initial ratio of milk to water in jar A is 180:36, which simplifies to 5:1. This means any mixture taken out will also have a milk to water ratio of 5:1. Let the amount of mixture taken out be 6x, consisting of 5x milk and x water. After adding 6 litres of water to jar B, the ratio of milk to water becomes 5:2, meaning the 6 litres of added water equals the original amount of water plus one more part of water (2x - x = x), so x equals 6. The total mixture taken out is 6x, which is 6 times 6, equal to 36 litres.

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