Correct Option (1)
Let the volume of each glass be x litres.
The quantity of milk in the first glass is x/3 and in the second glass is x/4.
Total quantity of milk in the pot:
= x/3 + x/4
= (4x + 3x)/12
= 7x/12
Both glasses are filled up with water. Therefore, the total volume of liquid from both glasses is 2x litres.
Total quantity of water in the pot:
= Total volume - Total quantity of milk
= 2x - 7x/12
= (24x - 7x)/12
= 17x/12
The required ratio of milk to water in the pot is:
= (7x/12) : (17x/12)
= 7 : 17
Incorrect Options:
Options 2 (1:3), 3 (9:21), and 4 (11:23) are incorrect. These ratios would result from miscalculations of the total milk or water quantities, or an incorrect application of the ratio principle. The accurate calculation, considering the initial milk volumes and subsequent filling with water, yields a milk to water ratio of 7:17.