Multiple choice

Three glasses of sizes 12 litres, 18 litres and 15 litres contain mixture of milk and water in the ratio 2 : 1, 5 : 4 and 1 : 4 respectively. Find the ratio of milk to water if the contents of all the three glasses are poured into one large vessel.

  1. 4 : 7

  2. 5 : 7

  3. 7 : 8

  4. 6 : 7

  5. 5 : 8
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C Correct answer
Explanation

Vessel 1: 12L (2:1) -> 8L milk, 4L water. Vessel 2: 18L (5:4) -> 10L milk, 8L water. Vessel 3: 15L (1:4) -> 3L milk, 12L water. Total milk = 8+10+3 = 21. Total water = 4+8+12 = 24. Ratio 21:24 = 7:8.

AI explanation

Calculate the milk and water from each glass separately based on its total size and ratio. The first glass has 8 litres of milk and 4 litres of water, the second has 10 litres of milk and 8 litres of water, and the third has 3 litres of milk and 12 litres of water. Adding these together gives a total of 21 litres of milk and 24 litres of water, which simplifies to a ratio of 7 to 8.

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