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Two vessels contains equal quantity of solution contains milk and water in the ratio of 7:2 and 4:5 respectively. Now the solutions are mixed with each other then find the ratio of milk and water in the final solution?
- a)11:7
- b)11:6
- c)11:5
- d)11:9
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Two vessels contains equal quantity of solution contains milk and wate...
Answer – A.11:7 Explanation : milk = 7/9 and water = 2/9 – in 1 vessel milk = 4/9 and water = 5/9 – in 2 vessel (7/9 + 4/9)/ (2/9 + 5/9) = 11:7
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Two vessels contains equal quantity of solution contains milk and wate...
Solution:
Let us assume that the quantity of the solution in each vessel is 'x'.
In the first vessel, the ratio of milk and water is given as 7:2. So, the quantity of milk in this vessel is (7/9)x and the quantity of water is (2/9)x.
In the second vessel, the ratio of milk and water is given as 4:5. So, the quantity of milk in this vessel is (4/9)x and the quantity of water is (5/9)x.
When these two solutions are mixed, the total quantity of the final solution becomes 2x.
Let us assume that the ratio of milk and water in the final solution is a:b.
Then, the quantity of milk in the final solution becomes ((7/9)x + (4/9)x) = (11/9)x.
Similarly, the quantity of water in the final solution becomes ((2/9)x + (5/9)x) = (7/9)x.
Therefore, we can write the equation as:
(11/9)x/(7/9)x = a/b
Simplifying the above equation, we get:
a/b = 11:7
Hence, the ratio of milk and water in the final solution is 11:7.
Let us assume that the quantity of the solution in each vessel is 'x'.
In the first vessel, the ratio of milk and water is given as 7:2. So, the quantity of milk in this vessel is (7/9)x and the quantity of water is (2/9)x.
In the second vessel, the ratio of milk and water is given as 4:5. So, the quantity of milk in this vessel is (4/9)x and the quantity of water is (5/9)x.
When these two solutions are mixed, the total quantity of the final solution becomes 2x.
Let us assume that the ratio of milk and water in the final solution is a:b.
Then, the quantity of milk in the final solution becomes ((7/9)x + (4/9)x) = (11/9)x.
Similarly, the quantity of water in the final solution becomes ((2/9)x + (5/9)x) = (7/9)x.
Therefore, we can write the equation as:
(11/9)x/(7/9)x = a/b
Simplifying the above equation, we get:
a/b = 11:7
Hence, the ratio of milk and water in the final solution is 11:7.
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