Question
6 liters of milk are removed from a can full of milk and
replaced with water. This process is repeated three more times. The ratio of the remaining milk to the amount of water in the can is now 81:175. What was the original amount of milk in the can?Solution
Original quantity of milk = x liters Quantity of milk left in can after 4 operations = [x * (1 – 6/x)4] =>[x * (1 – 6/x)4]/x = 81/256 => x = 24 liters
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