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A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
- a)1/9
- b)1/10
- c)1/5
- d)1/12
- e)1/7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A vessel is filled with liquid, 4 parts of which are water and 5 parts...
Answer – B.1/10 Explanation : Suppose the vessel initially contains 9litres of liquid.
Let x litres of this liquid be replaced with water. (4-(4x/9) +x) = (5-(5x/9)) X = 9/10
So, part of the mixture replaced = 9/10 * 1/9 = 1/10 Shortcut: 4:5—->9
1:1—->2
8:10
9:9
1/10
Let x litres of this liquid be replaced with water. (4-(4x/9) +x) = (5-(5x/9)) X = 9/10
So, part of the mixture replaced = 9/10 * 1/9 = 1/10 Shortcut: 4:5—->9
1:1—->2
8:10
9:9
1/10
Most Upvoted Answer
A vessel is filled with liquid, 4 parts of which are water and 5 parts...
Given:
- A vessel filled with liquid containing 4 parts water and 5 parts syrup.
- We need to find out how much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.
Approach:
Let's assume that the vessel initially contains 9 liters of the mixture (4 parts water and 5 parts syrup). So, initially, the vessel contains 4/9 * 9 = 4 liters of water and 5/9 * 9 = 5 liters of syrup.
Let's assume that x liters of the mixture is replaced with water. So, after replacing x liters of the mixture with water, the vessel will contain (4 - 4x/9) liters of water and (5 - 5x/9) liters of syrup.
We need to find out the value of x, which will make the ratio of water to syrup equal to 1/1.
Calculation:
- After replacing x liters of the mixture with water, the vessel will contain (4 - 4x/9) liters of water and (5 - 5x/9) liters of syrup.
- As per the question, we need the ratio of water to syrup to be 1/1.
- So, (4 - 4x/9)/(5 - 5x/9) = 1/1
- Therefore, 4 - 4x/9 = 5 - 5x/9
- Solving the above equation, we get x = 1/10.
Therefore, 1/10 liters of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.
Hence, option B is the correct answer.
- A vessel filled with liquid containing 4 parts water and 5 parts syrup.
- We need to find out how much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.
Approach:
Let's assume that the vessel initially contains 9 liters of the mixture (4 parts water and 5 parts syrup). So, initially, the vessel contains 4/9 * 9 = 4 liters of water and 5/9 * 9 = 5 liters of syrup.
Let's assume that x liters of the mixture is replaced with water. So, after replacing x liters of the mixture with water, the vessel will contain (4 - 4x/9) liters of water and (5 - 5x/9) liters of syrup.
We need to find out the value of x, which will make the ratio of water to syrup equal to 1/1.
Calculation:
- After replacing x liters of the mixture with water, the vessel will contain (4 - 4x/9) liters of water and (5 - 5x/9) liters of syrup.
- As per the question, we need the ratio of water to syrup to be 1/1.
- So, (4 - 4x/9)/(5 - 5x/9) = 1/1
- Therefore, 4 - 4x/9 = 5 - 5x/9
- Solving the above equation, we get x = 1/10.
Therefore, 1/10 liters of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.
Hence, option B is the correct answer.
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Community Answer
A vessel is filled with liquid, 4 parts of which are water and 5 parts...
Answer – B.1/10 Explanation : Suppose the vessel initially contains 9litres of liquid.
Let x litres of this liquid be replaced with water. (4-(4x/9) +x) = (5-(5x/9)) X = 9/10
So, part of the mixture replaced = 9/10 * 1/9 = 1/10 Shortcut: 4:5—->9
1:1—->2
8:10
9:9
1/10
Let x litres of this liquid be replaced with water. (4-(4x/9) +x) = (5-(5x/9)) X = 9/10
So, part of the mixture replaced = 9/10 * 1/9 = 1/10 Shortcut: 4:5—->9
1:1—->2
8:10
9:9
1/10
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A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?a)1/9b)1/10c)1/5d)1/12e)1/7Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?a)1/9b)1/10c)1/5d)1/12e)1/7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?a)1/9b)1/10c)1/5d)1/12e)1/7Correct answer is option 'B'. Can you explain this answer?.
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