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144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?
- a)40 liters
- b)28 liters
- c)32 liters
- d)36 liters
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
144 liters of the mixture contains milk and water in the ratio 5: 7. H...
Given:
Volume of mixture = 144 liters
Initial ratio of milk to water = 5:7
Final ratio of milk to water = 23:21
Solution:
Step 1: Finding the amount of milk and water in the initial mixture
Let the amount of milk in the mixture be 5x liters and the amount of water be 7x liters.
Therefore, 5x + 7x = 144
12x = 144
x = 12
So, the initial amount of milk = 5 * 12 = 60 liters
And the initial amount of water = 7 * 12 = 84 liters
Step 2: Adding milk to the mixture
Let the amount of milk to be added be y liters.
After adding y liters of milk, the total amount of milk becomes 60 + y liters.
Step 3: Finding the new ratio
According to the new ratio,
(60 + y) / 84 = 23 / 21
21(60 + y) = 23 * 84
1260 + 21y = 1932
21y = 672
y = 32
Therefore, 32 liters of milk needs to be added to the mixture so that the new ratio is 23:21.
Therefore, the correct answer is option c) 32 liters.
Volume of mixture = 144 liters
Initial ratio of milk to water = 5:7
Final ratio of milk to water = 23:21
Solution:
Step 1: Finding the amount of milk and water in the initial mixture
Let the amount of milk in the mixture be 5x liters and the amount of water be 7x liters.
Therefore, 5x + 7x = 144
12x = 144
x = 12
So, the initial amount of milk = 5 * 12 = 60 liters
And the initial amount of water = 7 * 12 = 84 liters
Step 2: Adding milk to the mixture
Let the amount of milk to be added be y liters.
After adding y liters of milk, the total amount of milk becomes 60 + y liters.
Step 3: Finding the new ratio
According to the new ratio,
(60 + y) / 84 = 23 / 21
21(60 + y) = 23 * 84
1260 + 21y = 1932
21y = 672
y = 32
Therefore, 32 liters of milk needs to be added to the mixture so that the new ratio is 23:21.
Therefore, the correct answer is option c) 32 liters.
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Community Answer
144 liters of the mixture contains milk and water in the ratio 5: 7. H...
144 == 5:7
60: 84
Now == 21 = 84
23 = 92
92-60 = 32
60: 84
Now == 21 = 84
23 = 92
92-60 = 32
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144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer?
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144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about 144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer?.
144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about 144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer?.
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144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for 144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 144 liters of the mixture contains milk and water in the ratio 5: 7. How much milk needs to be added to this mixture so that the new ratio is 23: 21 respectively?a)40 litersb)28 litersc)32 litersd)36 litersCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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