a person has 90l solution of milk. 9l of solution is removed and replaced by water. the process is repeated for 3 times. what is the quantity of milk in the end
Question
A person has 90l solution of milk.
9l of solution is removed and replaced by water. The process is repeated for 3 times. What is the quantity of milk in the end?
Solution
Let's solve this step by step:
Step 1: Initially, the person has 90L of milk.
Step 2: When 9L of milk is removed, the quantity of milk left is 90L - 9L = 81L.
Step 3: Now, when 9L of water is added, the total solution remains 90L, but the milk content is 81L.
Step 4: This process is repeated 3 times. So, after each operation, the quantity of milk is multiplied by 81/90.
So, after 3 operations, the quantity of milk left is (81/90) * (81/90) * (81/90) * 90L.
Step 5: Calculate the above expression to get the final quantity of milk.
So, the quantity of milk left after 3 operations is approximately 59.28L.
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