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In a mixture of 30 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water is to be 1 : 2, then amount of water to be further added is ______.
  • a)
    20
  • b)
    50
  • c)
    30
  • d)
    80
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a mixture of 30 litres, the ratio of milk to water is 2 : 1. If the...
GIVEN:
Quantity of mixture = 30 litres
Ratio of milk and water = 2 : 1
FORMULA USED:
Quantity of milk = (Ratio of milk/Ratio of milk + Ratio of Water) × Quantity of mixture
CALCULATION:
Quantity of milk = (2/3 × 30) = 20 litres
Quantity of water in it = (30 – 20) = 10 litres
New ratio = 1 : 2
Let the quantity of water to be added to be x litres
Milk : water = (20/10 + x)
(20/(10 + x)) = 1 / 2
⇒ 40 = 10 + x
⇒ x = 30
∴ Quantity of water to be added = 30 litres
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Most Upvoted Answer
In a mixture of 30 litres, the ratio of milk to water is 2 : 1. If the...
Given information:
- Mixture contains 30 liters in total
- Ratio of milk to water is currently 2:1

To find:
- Amount of water to be further added to change the ratio to 1:2

Let's solve this problem step by step.

Step 1: Find the current amount of milk and water in the mixture
- Since the ratio of milk to water is 2:1, we can divide the mixture into 3 equal parts.
- Let's assume that the amount of milk is 2x and the amount of water is x. (Where x is a constant)
- Therefore, the total amount of milk in the mixture is 2x liters, and the total amount of water is x liters.
- According to the given information, the total amount of the mixture is 30 liters.
- So, we can write the equation: 2x + x = 30
- Simplifying the equation, we get 3x = 30
- Dividing both sides by 3, we find that x = 10.

Step 2: Calculate the current amount of milk and water in the mixture
- Since x = 10, the current amount of milk in the mixture is 2x = 2 * 10 = 20 liters.
- The current amount of water in the mixture is x = 10 liters.

Step 3: Find the desired amount of milk and water in the mixture
- According to the desired ratio of milk to water, which is 1:2, we can assume that the amount of milk is y and the amount of water is 2y. (Where y is a constant)
- Therefore, the total amount of milk in the mixture should be y liters, and the total amount of water should be 2y liters.

Step 4: Calculate the desired amount of milk and water in the mixture
- Since the total amount of the mixture after adding more water is not given, we can assume it to be 'a'.
- So, the equation for the desired ratio becomes: y / (2y + a) = 1 / 2
- Cross-multiplying the equation, we get: 2y = 2y + a
- Simplifying the equation, we find that a = 0.

Step 5: Calculate the amount of water to be further added
- Since a = 0, it means that no additional water needs to be added to achieve the desired ratio of 1:2.
- Therefore, the amount of water to be further added is 0 liters.

Hence, the correct answer is option C) 30 liters.
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In a mixture of 30 litres, the ratio of milk to water is 2 : 1. If the ratio of milk to water is to be 1 : 2, then amount of water to be further added is ______.a)20b)50c)30d)80Correct answer is option 'C'. Can you explain this answer?
Question Description
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