Two equal glasses filled with mixture of alcohol and water in the prop...
Solution:
Let the quantity of mixture in the first glass be 2x and in the second glass be x.
Therefore, the quantity of alcohol in the first glass = (2/3)×2x = (4/3)x
The quantity of water in the first glass = (1/3)×2x = (2/3)x
The quantity of alcohol in the second glass = (1/2)×x = (1/2)x
The quantity of water in the second glass = (1/2)×x = (1/2)x
When both the glasses are emptied into a third glass, the quantity of alcohol in the third glass = (4/3)x + (1/2)x = (11/6)x
The quantity of water in the third glass = (2/3)x + (1/2)x = (7/6)x
Therefore, the proportion of alcohol and water in the third glass = (11/6)x : (7/6)x = 11 : 7
Hence, the correct option is (B) 7 : 5.
Two equal glasses filled with mixture of alcohol and water in the prop...
B) 7:5