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Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?
  • a)
    1:3
  • b)
    2:3
  • c)
    3:2
  • d)
    5:3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two glasses of equal volume are respectively half and three-fourths fi...
Solution: d) Lets say both glasses have 100 ml capacity. Glass 1: 50 ml water and 50 ml milk Glass 2: 25 ml water and 75 ml milk. Total when poured together = 200 ml.
Milk = 125 mlWater = 75 ml
Ration = 125:75 = 5:3
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Most Upvoted Answer
Two glasses of equal volume are respectively half and three-fourths fi...
Solution:

Let's assume that each glass has a volume of V units.

Given that the first glass is half filled with milk, it contains (1/2) * V units of milk.

Given that the second glass is three-fourths filled with milk, it contains (3/4) * V units of milk.

When the glasses are filled to the brim with water, the first glass will have a total volume of V units and the second glass will have a total volume of V units.

Let's calculate the amount of water in each glass after filling them to the brim:

- The first glass initially had (1/2) * V units of milk. After filling it to the brim, it will have (1/2) * V units of milk and (1/2) * V units of water.
- The second glass initially had (3/4) * V units of milk. After filling it to the brim, it will have (3/4) * V units of milk and (1/4) * V units of water.

Now, let's calculate the total amount of milk and water in the vessel after pouring the contents of the two glasses:

- Total milk = (1/2) * V + (3/4) * V = (2/4) * V + (3/4) * V = (5/4) * V
- Total water = (1/2) * V + (1/4) * V = (2/4) * V + (1/4) * V = (3/4) * V

The ratio of milk to water in the vessel is given by:

- Ratio = Total milk : Total water = (5/4) * V : (3/4) * V = 5 : 3

Therefore, the correct answer is option D) 5:3.
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Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?a)1:3b)2:3c)3:2d)5:3Correct answer is option 'D'. Can you explain this answer?
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