Multiple choice

Three containers A, B and C have mixture of pure milk and water. The average of the volume of pure milk in the three containers is 16 litres and average of the volume of the mixture in the three containers is 20 litres. Ratio of water in A, B and C is 2 : 3 : 1. Find the difference between the volume of pure milk in B and C if the sum of volume of mixture in container B and C is 40 litres.

  1. 6 litres

  2. 8 litres

  3. 12 litres

  4. Can't be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Insufficient information is provided to determine the individual volumes of milk in containers B and C. The average milk and mixture volumes don't uniquely identify the distribution across containers.

AI explanation

The average volume of pure milk across the three containers is 16 litres, meaning the total volume of milk is 48 litres. The average total volume of the mixtures is 20 litres, so the combined capacity of all three containers is 60 litres. This leaves a total water volume of 12 litres across the containers, which is distributed in the ratio 2:3:1, making the water in containers A, B, and C equal to 4 litres, 6 litres, and 2 litres respectively. While we know the combined volume of B and C is 40 litres, meaning their combined milk volume is 40 minus 8 litres of water, or 32 litres, we cannot uniquely split this 32 litres of milk between B and C without knowing the individual total volumes of B and C. Therefore, the exact difference between the volume of pure milk in B and C cannot be determined from the provided information.

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