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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?
Verified Answer
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.
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