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A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?
- a)1/3
- b)1/4
- c)1/5
- d)1/6
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A bucket contains milk mixed with water, of which 3 parts are water an...
Let total quantity in the mixture be a litre
∴ Water = 3a/8 litre, Milk = 5a/8 litre
∴ Let ‘b’ litre mixture is removed
then, water removed = 3b/8,
milk removed = 5b/8
∴ According to question.
on solving we get b/a = 1/5
∴ Water = 3a/8 litre, Milk = 5a/8 litre
∴ Let ‘b’ litre mixture is removed
then, water removed = 3b/8,
milk removed = 5b/8
∴ According to question.
on solving we get b/a = 1/5
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Community Answer
A bucket contains milk mixed with water, of which 3 parts are water an...
To solve this problem, we can start by assuming that the bucket contains a certain amount of mixture, let's say 8 units.
Given that the mixture has 3 parts water and 5 parts milk, we can calculate the amount of water and milk in the bucket as follows:
Water: (3/8) * 8 = 3 units
Milk: (5/8) * 8 = 5 units
Let's assume that x units of the mixture are removed from the bucket. After removing x units, the amount of water and milk in the remaining mixture will be as follows:
Water: (3/8) * (8 - x) = (24 - 3x)/8 units
Milk: (5/8) * (8 - x) = (40 - 5x)/8 units
According to the problem, the removed mixture is replaced with water. This means that the amount of water in the remaining mixture will increase by x units. Therefore, the new amount of water in the mixture will be:
Water: (24 - 3x)/8 + x/8 = (24 - 2x)/8 units
Similarly, the amount of milk in the remaining mixture will remain the same. So, the new amount of milk in the mixture will be:
Milk: (40 - 5x)/8 units
Since the new mix contains milk and water in equal proportions, we can set up the following equation:
(24 - 2x)/8 = (40 - 5x)/8
Simplifying the equation, we get:
24 - 2x = 40 - 5x
Combining like terms, we get:
3x = 16
Dividing both sides by 3, we get:
x = 16/3
Therefore, the portion of the mixture that should have been removed is 16/3 or 5 1/3 units.
Converting this to a fraction, we get:
x = 16/3 = 5 1/3
So, the correct answer is option C) 1/5.
Given that the mixture has 3 parts water and 5 parts milk, we can calculate the amount of water and milk in the bucket as follows:
Water: (3/8) * 8 = 3 units
Milk: (5/8) * 8 = 5 units
Let's assume that x units of the mixture are removed from the bucket. After removing x units, the amount of water and milk in the remaining mixture will be as follows:
Water: (3/8) * (8 - x) = (24 - 3x)/8 units
Milk: (5/8) * (8 - x) = (40 - 5x)/8 units
According to the problem, the removed mixture is replaced with water. This means that the amount of water in the remaining mixture will increase by x units. Therefore, the new amount of water in the mixture will be:
Water: (24 - 3x)/8 + x/8 = (24 - 2x)/8 units
Similarly, the amount of milk in the remaining mixture will remain the same. So, the new amount of milk in the mixture will be:
Milk: (40 - 5x)/8 units
Since the new mix contains milk and water in equal proportions, we can set up the following equation:
(24 - 2x)/8 = (40 - 5x)/8
Simplifying the equation, we get:
24 - 2x = 40 - 5x
Combining like terms, we get:
3x = 16
Dividing both sides by 3, we get:
x = 16/3
Therefore, the portion of the mixture that should have been removed is 16/3 or 5 1/3 units.
Converting this to a fraction, we get:
x = 16/3 = 5 1/3
So, the correct answer is option C) 1/5.
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A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer?
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A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer?.
A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer?.
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A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A bucket contains milk mixed with water, of which 3 parts are water and 5 parts are milk. A part of the mixture is removed from the bucket and is replaced by water. What portion of the mixture should have been removed so that the new mix contains milk and water is equal proportion?a)1/3b)1/4c)1/5d)1/6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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