In a mixture, the ratio of milk to water is 5:1. When 20 liters of water is…
2025
In a mixture, the ratio of milk to water is 5:1. When 20 liters of water is added into the mixture, then the ratio of milk to water becomes equal. Find the quantity of milk in the final mixture (in liter).
- A.
25
- B.
24
- C.
5
- D.
20
- E.
15
Attempted by 5 students.
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Correct answer: A
Define the initial quantities:
The initial ratio of milk to water is 5:1.
Let the quantity of milk be 5x liters and the quantity of water be 1x liters.
Account for the addition of water:
20 liters of water are added to the mixture.
The new quantity of water becomes (x + 20) liters.
Set up the equation based on the new ratio:
After adding water, the ratio of milk to water becomes equal, which means the ratio is 1:1.
Therefore, the quantity of milk equals the new quantity of water:
5x = x + 20
Solve for x:
Subtract x from both sides:
4x = 20
Divide by 4:
x = 5
Calculate the quantity of milk:
The quantity of milk is 5x.
Substituting x = 5:
5 * 5 = 25 liters.
The quantity of milk in the final mixture is 25 liters, which corresponds to Option 1.