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There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?
  • a)
    The ratio of water and milk in the resulting mixture is 3 : 4
  • b)
    The ratio of water and milk in the resulting mixture is 3 : 5
  • c)
    The ratio of water and milk in the resulting mixture is 2 : 5
  • d)
    The ratio of water and milk in the resulting mixture is 2 : 3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are 2 containers, each containing equal quantities of solution c...
Given information:
- There are 2 containers with equal quantities of solution containing milk and water.
- In the first container, the ratio of water to milk is 2:3.
- In the second container, the ratio of water to milk is 1:4.
- These two containers are emptied into a tub in the volume ratio of 3:4.

To find:
The ratio of water to milk in the resulting mixture.

Solution:
Let's assume that each container contains 5 units of solution, so the first container has 2 units of water and 3 units of milk, and the second container has 1 unit of water and 4 units of milk.

Step 1: Calculate the total quantities of water and milk in each container.
- First Container: 2 units of water + 3 units of milk = 5 units of solution
- Second Container: 1 unit of water + 4 units of milk = 5 units of solution

Step 2: Calculate the quantities of water and milk when the containers are emptied into the tub.
- Tub: (3/7) * (2 units of water + 1 unit of water) + (4/7) * (3 units of milk + 4 units of milk)
= (6/7) units of water + (17/7) units of milk

Step 3: Simplify the ratio of water to milk in the resulting mixture.
- The ratio of water to milk in the resulting mixture is (6/7) : (17/7).
- Multiply both sides of the ratio by 7 to get rid of the denominator:
6 : 17

Therefore, the correct answer is option C: The ratio of water to milk in the resulting mixture is 2:5.
Free Test
Community Answer
There are 2 containers, each containing equal quantities of solution c...
Let the volume of solution in each container be 60 V litres
So, in container 1 , water = 24V litres and milk = 36V litres
In container 2, water = 12V litres and milk = 48V litres
Now, when 3 parts of solution are taken from container 1, we get 18V litres of water and 27V litres of milk.
When 4 parts of solution from container 2 are taken, we get 12V litres of water and 48V litres of milk.
Thus, on mixing we get (18 + 12)V litres = 30V litres of water and (27 + 48)V litres of milk = 75V litres of milk.
So, on mixing the two, we get 30V litres of water and 75V litres of milk.
Therefore, the desired ratio = 30 : 75 = 2 : 5
Thus, answer option 2 is correct.
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There are 2 containers, each containing equal quantities of solution containing milk and water. In the first container, the ratio of water and milk is 2 : 3 and in the second container, the ratio of water to milk is 1 : 4. Now, these two containers are emptied in a tub in the volume ratio 3 : 4. Which of the following is true?a)The ratio of water and milk in the resulting mixture is 3 : 4b)The ratio of water and milk in the resulting mixture is 3 : 5c)The ratio of water and milk in the resulting mixture is 2 : 5d)The ratio of water and milk in the resulting mixture is 2 : 3Correct answer is option 'C'. Can you explain this answer?
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