In a 27-liter mixture, the ratio of water and milk is 5 : 4. How much water…
2023
In a 27-liter mixture, the ratio of water and milk is 5 : 4. How much water should be added to this mixture so that the ratio of water and milk becomes 3 : 1?
- A.
12 liters
- B.
15 liters
- C.
21 liters
- D.
36 liters
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Correct answer: C
First, calculate the initial quantities of water and milk in the 27-liter mixture.
The ratio of water to milk is 5:4, so there are 9 total parts. Each part equals 27 ÷ 9 = 3 liters.
Initial water = 5 parts × 3 liters = 15 liters.
Initial milk = 4 parts × 3 liters = 12 liters.
Only water is added, so the milk quantity remains constant at 12 liters.
For the new ratio of 3:1, water must be 3 times the milk quantity.
Required water = 3 × 12 liters = 36 liters.
Water to be added = Required water - Initial water = 36 - 15 = 21 liters.