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In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Another 2 litres of water is added to the mixture. The ratio of milk to water in new mixture is
- a)5 : 6
- b)6 : 5
- c)3 : 5
- d)2 : 7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Anothe...
Let, the milk be in given mixture is 3x and water be in given mixture is 2x
According to question,
⇒ 3x + 2x = 20
⇒ x = 4
∴ the milk in given mixture is 12 litres and the water be in given mixture is 8 litres
After adding 2 litres of water in the given mixture, the quantity of water will be (8 + 2) = 10 litres
∴ Ratio of milk to water in new mixture = 12/10 = 6/5 = 6 : 5
According to question,
⇒ 3x + 2x = 20
⇒ x = 4
∴ the milk in given mixture is 12 litres and the water be in given mixture is 8 litres
After adding 2 litres of water in the given mixture, the quantity of water will be (8 + 2) = 10 litres
∴ Ratio of milk to water in new mixture = 12/10 = 6/5 = 6 : 5
Most Upvoted Answer
In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Anothe...
Understanding the Initial Mixture
The initial mixture consists of 20 litres of liquid, with the ratio of milk to water being 3:2.
Calculating Quantities of Milk and Water
- Total parts in the ratio = 3 (milk) + 2 (water) = 5 parts
- Quantity of milk = (3/5) * 20 = 12 litres
- Quantity of water = (2/5) * 20 = 8 litres
Adding Water to the Mixture
When 2 litres of water is added:
- New quantity of water = 8 litres + 2 litres = 10 litres
New Total Mixture
- The new total quantity of the mixture = 12 litres (milk) + 10 litres (water) = 22 litres
Finding the New Ratio
Now, we need to determine the new ratio of milk to water:
- Milk = 12 litres
- Water = 10 litres
The new ratio of milk to water is:
- Ratio = 12:10
Simplifying the Ratio
To simplify the ratio:
- Divide both quantities by 2:
- 12 ÷ 2 = 6
- 10 ÷ 2 = 5
Thus, the new ratio of milk to water is 6:5.
Conclusion
The correct answer is option 'B' (6:5).
The initial mixture consists of 20 litres of liquid, with the ratio of milk to water being 3:2.
Calculating Quantities of Milk and Water
- Total parts in the ratio = 3 (milk) + 2 (water) = 5 parts
- Quantity of milk = (3/5) * 20 = 12 litres
- Quantity of water = (2/5) * 20 = 8 litres
Adding Water to the Mixture
When 2 litres of water is added:
- New quantity of water = 8 litres + 2 litres = 10 litres
New Total Mixture
- The new total quantity of the mixture = 12 litres (milk) + 10 litres (water) = 22 litres
Finding the New Ratio
Now, we need to determine the new ratio of milk to water:
- Milk = 12 litres
- Water = 10 litres
The new ratio of milk to water is:
- Ratio = 12:10
Simplifying the Ratio
To simplify the ratio:
- Divide both quantities by 2:
- 12 ÷ 2 = 6
- 10 ÷ 2 = 5
Thus, the new ratio of milk to water is 6:5.
Conclusion
The correct answer is option 'B' (6:5).
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In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Another 2 litres of water is added to the mixture. The ratio of milk to water in new mixture isa)5 : 6b)6 : 5c)3 : 5d)2 : 7Correct answer is option 'B'. Can you explain this answer?
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In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Another 2 litres of water is added to the mixture. The ratio of milk to water in new mixture isa)5 : 6b)6 : 5c)3 : 5d)2 : 7Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Another 2 litres of water is added to the mixture. The ratio of milk to water in new mixture isa)5 : 6b)6 : 5c)3 : 5d)2 : 7Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a mixture of 20 litres, the ratio of milk to water is 3 : 2. Another 2 litres of water is added to the mixture. The ratio of milk to water in new mixture isa)5 : 6b)6 : 5c)3 : 5d)2 : 7Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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