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).
Answer: A. 25 — 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.…
- A.
25
- B.
24
- C.
5
- D.
20
- E.
15
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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.
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