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How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%?
- a)4 litres
- b)5 litres
- c)3 2/3 litres
- d)6 litres
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
How much water must be added to 20 liters of 90% pure milk to have a m...
Solution:
Given, milk is 90% pure.
Let us assume that x liters of water is added to 20 liters of 90% pure milk.
After adding water, the new mixture will be of 75% purity.
Now, we can set up the equation as below:
Quantity of Milk in the initial mixture = Quantity of Milk in the final mixture
So,
20 liters × 90% = (20 + x) liters × 75%
1800 = 1500 + 75x
75x = 300
x = 4 liters
Therefore, 4 litres of water must be added to 20 litres of 90% pure milk to have a mixture of purity 75%. Thus, option A is correct.
Given, milk is 90% pure.
Let us assume that x liters of water is added to 20 liters of 90% pure milk.
After adding water, the new mixture will be of 75% purity.
Now, we can set up the equation as below:
Quantity of Milk in the initial mixture = Quantity of Milk in the final mixture
So,
20 liters × 90% = (20 + x) liters × 75%
1800 = 1500 + 75x
75x = 300
x = 4 liters
Therefore, 4 litres of water must be added to 20 litres of 90% pure milk to have a mixture of purity 75%. Thus, option A is correct.
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Community Answer
How much water must be added to 20 liters of 90% pure milk to have a m...
If 90% is milk then 10% is water so the ratio is 9:1
Total amount of water is 20 L.
Therefore , 9x+x = 20 => 10x = 20 => x=2
so milk = 18 L and water = 2 L.
Now to have 75% pure milk , ratio of milk to water will be 75:25 = 3:1, let the water to be added be n L
So, 18/(2+n) = 3/1 => 18 = 3(2+n) => 6=2+n => n=4 L.
Water to be added = 4L
Total amount of water is 20 L.
Therefore , 9x+x = 20 => 10x = 20 => x=2
so milk = 18 L and water = 2 L.
Now to have 75% pure milk , ratio of milk to water will be 75:25 = 3:1, let the water to be added be n L
So, 18/(2+n) = 3/1 => 18 = 3(2+n) => 6=2+n => n=4 L.
Water to be added = 4L
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How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer?
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How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer?.
How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How much water must be added to 20 liters of 90% pure milk to have a mixture of purity 75%? a)4 litres b)5 litresc)3 2/3 litres d)6 litresCorrect answer is option 'A'. Can you explain this answer?.
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