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A can contains 60 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated again. Find the amount of remaining milk in the mixture?
- a)125/3 litres
- b)26 2/3 litres
- c)40 litres
- d)45 litres
- e)25 litres
Correct answer is option 'A'. Can you explain this answer?
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A can contains 60 litres of milk. 10 litres of this milk is taken out ...
A) 125/3 litres Explanation: Remaining milk = 60 [1 – (10/60)]2
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A can contains 60 litres of milk. 10 litres of this milk is taken out ...
Problem:
A can contains 60 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated again. Find the amount of remaining milk in the mixture?
Solution:
Let's assume the amount of milk in the can after the first replacement as X litres. Then we can form the following equation:
After the first replacement, the amount of milk in the can = X litres.
So, the amount of water in the can = 10 litres.
Total mixture = 60 litres.
Now, we can apply the following formula to find the amount of milk in the mixture after the second replacement.
X [1-(10/X)]^2 = Remaining milk in the mixture.
Solving this equation, we get
X [1-(10/X)]^2 = 125/3 litres.
Therefore, the amount of remaining milk in the mixture is 125/3 litres.
Answer: Option A (125/3 litres).
A can contains 60 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated again. Find the amount of remaining milk in the mixture?
Solution:
Let's assume the amount of milk in the can after the first replacement as X litres. Then we can form the following equation:
After the first replacement, the amount of milk in the can = X litres.
So, the amount of water in the can = 10 litres.
Total mixture = 60 litres.
Now, we can apply the following formula to find the amount of milk in the mixture after the second replacement.
X [1-(10/X)]^2 = Remaining milk in the mixture.
Solving this equation, we get
X [1-(10/X)]^2 = 125/3 litres.
Therefore, the amount of remaining milk in the mixture is 125/3 litres.
Answer: Option A (125/3 litres).
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A can contains 60 litres of milk. 10 litres of this milk is taken out and replaced with water. This process is repeated again. Find the amount of remaining milk in the mixture?a)125/3 litresb)26 2/3 litresc)40 litresd)45 litrese)25 litresCorrect answer is option 'A'. Can you explain this answer?
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