Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?
- A7:17Correct
- B1:3
- C9:21
- D11:23
Explanation
Let the capacity of each glass be 1 unit.
Glass 1: Milk = 1/3 unit Water = 1 - 1/3 = 2/3 unit
Glass 2: Milk = 1/4 unit Water = 1 - 1/4 = 3/4 unit
When contents are mixed in a pot:
Total Milk = Milk from Glass 1 + Milk from Glass 2 Total Milk = 1/3 + 1/4 = (4 + 3)/12 = 7/12 units
Total Water = Water from Glass 1 + Water from Glass 2 Total Water = 2/3 + 3/4 = (8 + 9)/12 = 17/12 units
Ratio of Milk to Water = Total Milk : Total Water Ratio = (7/12) : (17/12) Ratio = 7 : 17
Analyzing the options: A) 7:17 - This matches our calculated ratio. B) 1:3 - Incorrect. This would imply 1 part milk for every 3 parts water. C) 9:21 - Incorrect. This simplifies to 3:7. D) 11:23 - Incorrect.
The final answer is A.
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