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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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.