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Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk is
- a)3:5
- b)5:2
- c)5:7
- d)2:7
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Two vessels A and B contains milk and water mixed in the ratio 8:5 and...
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Two vessels A and B contains milk and water mixed in the ratio 8:5 and...
Given:
- The ratio of milk to water in vessel A is 8:5.
- The ratio of milk to water in vessel B is 5:2.
To Find:
- The ratio in which the two mixtures should be mixed to obtain a new mixture containing 900/13% milk.
Solution:
Let's assume that we mix x units of mixture A with y units of mixture B to obtain the new mixture.
Finding the Ratio of Milk to Water in the New Mixture:
- In mixture A, the ratio of milk to water is 8:5. This means that out of every 8+5=13 units of the mixture, 8 units are milk and 5 units are water.
- In mixture B, the ratio of milk to water is 5:2. This means that out of every 5+2=7 units of the mixture, 5 units are milk and 2 units are water.
- In the new mixture, the percentage of milk is given as 900/13%. This means that out of every 900/13 units of the mixture, 900 units are milk and 13 units are the total mixture (milk + water).
Now, we can set up the following equation to find the ratio of milk to water in the new mixture:
(8x + 5y) / (5x + 2y) = (900/13) / 1
Simplifying the Equation:
- Cross-multiplying the equation, we get:
(8x + 5y) * 1 = (5x + 2y) * (900/13)
- Expanding the equation, we get:
8x + 5y = (4500x + 1800y) / 13
- Multiplying both sides of the equation by 13, we get:
104x + 65y = 4500x + 1800y
- Simplifying the equation, we get:
4500x - 104x = 65y - 1800y
4396x = -1735y
Finding the Ratio:
To find the ratio of x to y, we can divide both sides of the equation by y:
(4396x / y) = -1735
Since the ratio of x to y is the same as the ratio of 4396 to -1735, we can simplify it by dividing both numbers by their greatest common divisor (GCD), which is 1.
Therefore, the ratio of x to y is 4396: -1735, which can be simplified to 2:7.
Conclusion:
The ratio in which mixtures A and B should be mixed to obtain a new mixture containing 900/13% milk is 2:7, which corresponds to option D.
- The ratio of milk to water in vessel A is 8:5.
- The ratio of milk to water in vessel B is 5:2.
To Find:
- The ratio in which the two mixtures should be mixed to obtain a new mixture containing 900/13% milk.
Solution:
Let's assume that we mix x units of mixture A with y units of mixture B to obtain the new mixture.
Finding the Ratio of Milk to Water in the New Mixture:
- In mixture A, the ratio of milk to water is 8:5. This means that out of every 8+5=13 units of the mixture, 8 units are milk and 5 units are water.
- In mixture B, the ratio of milk to water is 5:2. This means that out of every 5+2=7 units of the mixture, 5 units are milk and 2 units are water.
- In the new mixture, the percentage of milk is given as 900/13%. This means that out of every 900/13 units of the mixture, 900 units are milk and 13 units are the total mixture (milk + water).
Now, we can set up the following equation to find the ratio of milk to water in the new mixture:
(8x + 5y) / (5x + 2y) = (900/13) / 1
Simplifying the Equation:
- Cross-multiplying the equation, we get:
(8x + 5y) * 1 = (5x + 2y) * (900/13)
- Expanding the equation, we get:
8x + 5y = (4500x + 1800y) / 13
- Multiplying both sides of the equation by 13, we get:
104x + 65y = 4500x + 1800y
- Simplifying the equation, we get:
4500x - 104x = 65y - 1800y
4396x = -1735y
Finding the Ratio:
To find the ratio of x to y, we can divide both sides of the equation by y:
(4396x / y) = -1735
Since the ratio of x to y is the same as the ratio of 4396 to -1735, we can simplify it by dividing both numbers by their greatest common divisor (GCD), which is 1.
Therefore, the ratio of x to y is 4396: -1735, which can be simplified to 2:7.
Conclusion:
The ratio in which mixtures A and B should be mixed to obtain a new mixture containing 900/13% milk is 2:7, which corresponds to option D.
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Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. 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 Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. 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 Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 900/13% milk isa)3:5b)5:2c)5:7d)2:7e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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