Multiple choice

A container that contains a mixture of milk and water in a ratio of 7 : 4. 11 litres of mixture is taken out from the container and 4 litres of pure milk is added to the mixture. Then the new ratio becomes 2:1. Find out the initial quantity of mixture in the container?

  1. (a) 77L

  2. (b) 44L

  3. (c) 55L

  4. (d) 66L

  5. (e) 33L
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial quantity be 11x. Milk = 7x, Water = 4x. Remove 11L: Milk removed = 7/11 * 11 = 7, Water removed = 4. Remaining: Milk = 7x - 7, Water = 4x - 4. Add 4L milk: Milk = 7x - 3, Water = 4x - 4. Ratio (7x-3)/(4x-4) = 2/1. 7x - 3 = 8x - 8. x = 5. Initial quantity = 11 * 5 = 55L.

AI explanation

Let the initial quantity of the mixture be 11x litres, meaning it contains 7x litres of milk and 4x litres of water. Removing 11 litres of the mixture takes out 7 litres of milk and 4 litres of water, leaving (7x minus 7) litres of milk and (4x minus 4) litres of water. Adding 4 litres of pure milk gives the equation (7x minus 7 + 4) / (4x minus 4) = 2 / 1, so solving 7x minus 3 = 8x minus 8 yields x = 5, which makes the initial quantity 11 * 5 = 55 litres.

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