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Two vessels A and B contain a mixture of Milk and Water. In the first vessel (i.e) Vessel A has the ratio of Milk to water is 8 : 3 and in the second vessel, Vessel B has the ratio of 5 : 1. A 35 litre capacity vessel is filled from these two vessels so as to contain a mixture of Milk and water in ratio of 4 : 1. Then how many litres should be taken from the first vessel, Vessel “A”.
- a)12 L
- b)17 L
- c)14 L
- d)11 L
- e)None of the Above
Correct answer is option 'D'. Can you explain this answer?
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Two vessels A and B contain a mixture of Milk and Water. In the first ...
Answer – D. 11 L Explanation : [8/11(x) + 5/6(35-x)]/[3/11(x) + 1/6(35-x)] = 4/1 x = 11
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Two vessels A and B contain a mixture of Milk and Water. In the first ...
A?
Let x be the number of litres taken from Vessel A.
From Vessel A, the ratio of milk to water is 8:3, so the ratio of milk to total mixture is 8:(8+3)=8:11.
From Vessel B, the ratio of milk to water is 5:1, so the ratio of milk to total mixture is 5:(5+1)=5:6.
When x litres is taken from Vessel A, the amount of milk added to the 35 litre mixture is (8/11)x litres, and the amount of water added is (3/11)x litres. Similarly, the amount of milk added from Vessel B is (5/6)(35-x) litres, and the amount of water added is (1/6)(35-x) litres.
Since the desired ratio of milk to water in the final mixture is 4:1, we have:
(8/11)x + (5/6)(35-x) = 4/5 * 35 (the total amount of milk added equals 4/5 of the total mixture)
(3/11)x + (1/6)(35-x) = 1/5 * 35 (the total amount of water added equals 1/5 of the total mixture)
Solving these equations, we get x = 15. Therefore, 15 litres should be taken from Vessel A.
Let x be the number of litres taken from Vessel A.
From Vessel A, the ratio of milk to water is 8:3, so the ratio of milk to total mixture is 8:(8+3)=8:11.
From Vessel B, the ratio of milk to water is 5:1, so the ratio of milk to total mixture is 5:(5+1)=5:6.
When x litres is taken from Vessel A, the amount of milk added to the 35 litre mixture is (8/11)x litres, and the amount of water added is (3/11)x litres. Similarly, the amount of milk added from Vessel B is (5/6)(35-x) litres, and the amount of water added is (1/6)(35-x) litres.
Since the desired ratio of milk to water in the final mixture is 4:1, we have:
(8/11)x + (5/6)(35-x) = 4/5 * 35 (the total amount of milk added equals 4/5 of the total mixture)
(3/11)x + (1/6)(35-x) = 1/5 * 35 (the total amount of water added equals 1/5 of the total mixture)
Solving these equations, we get x = 15. Therefore, 15 litres should be taken from Vessel A.
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Two vessels A and B contain a mixture of Milk and Water. In the first vessel (i.e) Vessel A has the ratio of Milk to water is 8 : 3 and in the second vessel, Vessel B has the ratio of 5 : 1. A 35 litre capacity vessel is filled from these two vessels so as to contain a mixture of Milk and water in ratio of 4 : 1. Then how many litres should be taken from the first vessel, Vessel “A”.a)12 Lb)17 Lc)14 Ld)11 Le)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
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Two vessels A and B contain a mixture of Milk and Water. In the first vessel (i.e) Vessel A has the ratio of Milk to water is 8 : 3 and in the second vessel, Vessel B has the ratio of 5 : 1. A 35 litre capacity vessel is filled from these two vessels so as to contain a mixture of Milk and water in ratio of 4 : 1. Then how many litres should be taken from the first vessel, Vessel “A”.a)12 Lb)17 Lc)14 Ld)11 Le)None of the AboveCorrect 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 contain a mixture of Milk and Water. In the first vessel (i.e) Vessel A has the ratio of Milk to water is 8 : 3 and in the second vessel, Vessel B has the ratio of 5 : 1. A 35 litre capacity vessel is filled from these two vessels so as to contain a mixture of Milk and water in ratio of 4 : 1. Then how many litres should be taken from the first vessel, Vessel “A”.a)12 Lb)17 Lc)14 Ld)11 Le)None of the AboveCorrect 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 contain a mixture of Milk and Water. In the first vessel (i.e) Vessel A has the ratio of Milk to water is 8 : 3 and in the second vessel, Vessel B has the ratio of 5 : 1. A 35 litre capacity vessel is filled from these two vessels so as to contain a mixture of Milk and water in ratio of 4 : 1. Then how many litres should be taken from the first vessel, Vessel “A”.a)12 Lb)17 Lc)14 Ld)11 Le)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
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