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In 450 litres mixture of acid and water, the ratio of acid and water is 7 : 5. What amount of water should be added to the mixture so that the ratio of acid to water becomes 3 : 5?
- a)200 liters
- b)250 liters
- c)266.67 liters
- d)320 liters
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In 450 litres mixture of acid and water, the ratio of acid and water i...
Initial Mixture:
- Acid : Water = 7 : 5
- Total mixture = 450 liters
- Let the amount of acid = 7x liters and water = 5x liters
Final Mixture:
- Acid : Water = 3 : 5
- Total mixture = 450 + y liters (y = amount of water added)
Equation:
- (7x)/(5x) = 3/5
- 7x = 3/5 * 5x
- 7x = 3x
- 4x = 450
- x = 112.5
Amount of water in initial mixture:
- Water = 5x = 5 * 112.5 = 562.5 liters
Amount of acid in initial mixture:
- Acid = 7x = 7 * 112.5 = 787.5 liters
Amount of water in final mixture:
- Water = 562.5 + y
Final ratio:
- Acid : Water = 787.5 : (562.5 + y) = 3 : 5
- 787.5/(562.5 + y) = 3/5
- 787.5 = 3/5 * (562.5 + y)
- 787.5 = 337.5 + 3y
- 3y = 450
- y = 150
Amount of water to be added:
- y = 150 liters
Therefore, the correct answer is option B) 250 liters.
- Acid : Water = 7 : 5
- Total mixture = 450 liters
- Let the amount of acid = 7x liters and water = 5x liters
Final Mixture:
- Acid : Water = 3 : 5
- Total mixture = 450 + y liters (y = amount of water added)
Equation:
- (7x)/(5x) = 3/5
- 7x = 3/5 * 5x
- 7x = 3x
- 4x = 450
- x = 112.5
Amount of water in initial mixture:
- Water = 5x = 5 * 112.5 = 562.5 liters
Amount of acid in initial mixture:
- Acid = 7x = 7 * 112.5 = 787.5 liters
Amount of water in final mixture:
- Water = 562.5 + y
Final ratio:
- Acid : Water = 787.5 : (562.5 + y) = 3 : 5
- 787.5/(562.5 + y) = 3/5
- 787.5 = 3/5 * (562.5 + y)
- 787.5 = 337.5 + 3y
- 3y = 450
- y = 150
Amount of water to be added:
- y = 150 liters
Therefore, the correct answer is option B) 250 liters.
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Community Answer
In 450 litres mixture of acid and water, the ratio of acid and water i...
Let the quantity of mixed water:
700 = 450 + X
X = 250 liters
Hence, Option B is correct.
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In 450 litres mixture of acid and water, the ratio of acid and water is 7 : 5. What amount of water should be added to the mixture so that the ratio of acid to water becomes 3 : 5?a)200 litersb)250 litersc)266.67 litersd)320 litersCorrect answer is option 'B'. Can you explain this answer?
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In 450 litres mixture of acid and water, the ratio of acid and water is 7 : 5. What amount of water should be added to the mixture so that the ratio of acid to water becomes 3 : 5?a)200 litersb)250 litersc)266.67 litersd)320 litersCorrect answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about In 450 litres mixture of acid and water, the ratio of acid and water is 7 : 5. What amount of water should be added to the mixture so that the ratio of acid to water becomes 3 : 5?a)200 litersb)250 litersc)266.67 litersd)320 litersCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In 450 litres mixture of acid and water, the ratio of acid and water is 7 : 5. What amount of water should be added to the mixture so that the ratio of acid to water becomes 3 : 5?a)200 litersb)250 litersc)266.67 litersd)320 litersCorrect answer is option 'B'. Can you explain this answer?.
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