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A filled vessel contains 3 parts of water and 5 parts of syrup. How much of the mixture must be drawn out and replaced with water, so that the mixture has 50% water and 50% syrup ?
- a)1/5
- b)1/6
- c)1/4
- d)1/3
- e)1/2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A filled vessel contains 3 parts of water and 5 parts of syrup. How mu...
Given:
- The vessel contains 5 parts of water and 7 parts of syrup.
- The mixture needs to have 50% water and 50% syrup.
To find:
- How much of the mixture must be drawn out and replaced with water.
Approach:
1. Let's assume that the vessel initially contains a total of 12 parts (5 parts of water + 7 parts of syrup).
2. We need to remove a certain amount of this mixture and replace it with water.
3. Let's assume that x parts of the mixture are removed and replaced with water.
4. After removing x parts and replacing them with water, the amount of water in the mixture will remain the same (5 parts) but the amount of syrup will decrease by x parts.
5. As a result, the new mixture will contain (5 parts of water + 7 parts of syrup - x parts of syrup) = (5 parts of water + 7 - x parts of syrup).
6. According to the question, this new mixture needs to have an equal amount of water and syrup, i.e., (5 parts of water + 7 - x parts of syrup) = (5 parts of syrup + 5 parts of water).
7. Simplifying this equation, we get: 7 - x = 5.
8. Solving for x, we find that x = 2.
Answer:
- We need to draw out and replace 2 parts of the mixture with water.
- Therefore, the correct answer is option 'A' (1/7).
- The vessel contains 5 parts of water and 7 parts of syrup.
- The mixture needs to have 50% water and 50% syrup.
To find:
- How much of the mixture must be drawn out and replaced with water.
Approach:
1. Let's assume that the vessel initially contains a total of 12 parts (5 parts of water + 7 parts of syrup).
2. We need to remove a certain amount of this mixture and replace it with water.
3. Let's assume that x parts of the mixture are removed and replaced with water.
4. After removing x parts and replacing them with water, the amount of water in the mixture will remain the same (5 parts) but the amount of syrup will decrease by x parts.
5. As a result, the new mixture will contain (5 parts of water + 7 parts of syrup - x parts of syrup) = (5 parts of water + 7 - x parts of syrup).
6. According to the question, this new mixture needs to have an equal amount of water and syrup, i.e., (5 parts of water + 7 - x parts of syrup) = (5 parts of syrup + 5 parts of water).
7. Simplifying this equation, we get: 7 - x = 5.
8. Solving for x, we find that x = 2.
Answer:
- We need to draw out and replace 2 parts of the mixture with water.
- Therefore, the correct answer is option 'A' (1/7).
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A filled vessel contains 3 parts of water and 5 parts of syrup. How mu...
Given: A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. Explanation: 3 parts water and 5 parts syrup. So water = 3/8 and syrup = 5/8 To make them equal, 4/8 of water and syrup should be there Let x be the amount of liquid we replace by water, Water = 3x/8 and Syrup = 5x/8 Now, Water before replacement + 5x/8 = syrup before replacement – 5x/8 ⇒ syrup – water(before replacement) = 10x/8 = 5x/4 ⇒ 5/8 part – 3/8 part = 5x/4 ⇒ 1/4 part = 5x/4 ∴ 1/5 of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.
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A filled vessel contains 3 parts of water and 5 parts of syrup. How much of the mixture must be drawn out and replaced with water, so that the mixture has 50% water and 50% syrup ?a)1/5b)1/6c)1/4d)1/3e)1/2Correct answer is option 'A'. Can you explain this answer?
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A filled vessel contains 3 parts of water and 5 parts of syrup. How much of the mixture must be drawn out and replaced with water, so that the mixture has 50% water and 50% syrup ?a)1/5b)1/6c)1/4d)1/3e)1/2Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A filled vessel contains 3 parts of water and 5 parts of syrup. How much of the mixture must be drawn out and replaced with water, so that the mixture has 50% water and 50% syrup ?a)1/5b)1/6c)1/4d)1/3e)1/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A filled vessel contains 3 parts of water and 5 parts of syrup. How much of the mixture must be drawn out and replaced with water, so that the mixture has 50% water and 50% syrup ?a)1/5b)1/6c)1/4d)1/3e)1/2Correct answer is option 'A'. Can you explain this answer?.
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