Multiple choice

A vessel of 160 L is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found out that the vessel is vacated by 55%, then the quantity of milk and water in the original mixture is

  1. Milk = 100 L; Water = 60 L

  2. Milk = 60 L; Water = 100 L

  3. Milk = 90 L; Water = 70 L

  4. Milk = 70 L; Water = 90 L
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let M be milk and W be water. We have M + W = 160. The problem states 0.7M + 0.3W = 0.55 * 160 = 88. Solving the system 0.7M + 0.3(160 - M) = 88 leads to 0.4M = 40, so M = 100 and W = 60.

AI explanation

Let the initial quantities of milk and water be x and y liters; the total volume is x plus y equals 160. Since 55% of the total mixture is removed, 88 liters is taken out, so 0.7x plus 0.3y equals 88. Solving the system gives x equals 100 and y equals 60.

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