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The ratio of milk and water in vessel A is 3 : 7 and the ratio of milk and water in vessel B is 3 : 17, If the solution from both vessels is mixed and both vessels is of the same quantity, then find the ratio of milk and water in the final solution.
  • a)
    9 : 1
  • b)
    19 : 31
  • c)
    9 : 31
  • d)
    31 : 9
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The ratio of milk and water in vessel A is 3 : 7 and the ratio of mil...
Vessel A = 3 units + 7 units = 10 units
Vessel A = 3 units + 17 units = 20 units
Since both vessels is of the same quantity,
Therefore, make the quantity of vessel A equal to 20 units.
Total milk in the third vessel = 9 units
Total water in the third vessel = 31 units
Required ratio = 9 : 31
Therefore, '9 : 31' is the required answer.
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Community Answer
The ratio of milk and water in vessel A is 3 : 7 and the ratio of mil...
To find the ratio of milk and water in the final solution, we need to determine the quantities of milk and water in each vessel and then combine them.

Given:
Ratio of milk to water in vessel A = 3 : 7
Ratio of milk to water in vessel B = 3 : 17

Let's assume that the quantity of milk in vessel A is 3x and the quantity of water is 7x. Similarly, in vessel B, let's assume the quantity of milk is 3y and the quantity of water is 17y.

Combining the solutions from both vessels:
Total quantity of milk = 3x + 3y
Total quantity of water = 7x + 17y

Since both vessels have the same quantity, we can equate the quantities of milk and water from both vessels:
3x + 3y = 7x + 17y

Simplifying the equation:
3x - 7x = 17y - 3y
-4x = 14y
x = -7/2y

This equation shows that for every unit of milk in vessel A, there are -7/2 units of milk in vessel B. Since the quantities cannot be negative, we can ignore the negative sign and say that for every unit of milk in vessel A, there are 7/2 units of milk in vessel B.

Now, let's find the ratio of milk and water in the combined solution:
Total quantity of milk = 3x + 3y = 3(7/2y) + 3y = 21/2y + 6y = 33/2y
Total quantity of water = 7x + 17y = 7(-7/2y) + 17y = -49/2y + 34y = 19/2y

Therefore, the ratio of milk to water in the final solution is:
(33/2y) : (19/2y)

Simplifying the ratio:
(33/2) : (19/2)
= 33 : 19

Hence, the correct ratio of milk to water in the final solution is 33 : 19, which corresponds to option C.
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The ratio of milk and water in vessel A is 3 : 7 and the ratio of milk and water in vessel B is 3 : 17, If the solution from both vessels is mixed and both vessels is of the same quantity, then find the ratio of milk and water in the final solution.a)9 : 1b)19 : 31c)9 : 31d)31 : 9Correct answer is option 'C'. Can you explain this answer?
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