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A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
- a)10 litres
- b)12 litres
- c)15 litres
- d)8 litres
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A mixture of 150 liters of wine and water contains 20% water. How muc...
Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters. P liters of water added to the mixture to make water 25% of the new mixture.
Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).
(30 + P) = 25/100 * (150 + P)
120 + 4P = 150 + P
⇒ P = 10 liters.
Most Upvoted Answer
A mixture of 150 liters of wine and water contains 20% water. How muc...
Given:
- Total volume of mixture = 150 liters
- Percentage of water in the mixture = 20%
- Percentage of water in the new mixture = 25%
To find:
- How much more water should be added to the mixture
Solution:
Let's assume that x liters of water should be added to the mixture.
- After adding x liters of water, the total volume of the mixture will be (150 + x) liters.
- Also, the volume of water in the new mixture will be (20% of 150 + x) liters, which should be equal to 25% of (150 + x) liters.
Mathematically, we can write the above statement as:
0.2 × 150 + x = 0.25 × (150 + x)
Simplifying the above equation, we get:
30 + x = 37.5 + 0.25x
0.75x = 7.5
x = 10
Therefore, we need to add 10 liters of water to the mixture to make water 25% of the new mixture. Hence, the correct option is (a) 10 liters.
Final Answer:
(a) 10 liters
- Total volume of mixture = 150 liters
- Percentage of water in the mixture = 20%
- Percentage of water in the new mixture = 25%
To find:
- How much more water should be added to the mixture
Solution:
Let's assume that x liters of water should be added to the mixture.
- After adding x liters of water, the total volume of the mixture will be (150 + x) liters.
- Also, the volume of water in the new mixture will be (20% of 150 + x) liters, which should be equal to 25% of (150 + x) liters.
Mathematically, we can write the above statement as:
0.2 × 150 + x = 0.25 × (150 + x)
Simplifying the above equation, we get:
30 + x = 37.5 + 0.25x
0.75x = 7.5
x = 10
Therefore, we need to add 10 liters of water to the mixture to make water 25% of the new mixture. Hence, the correct option is (a) 10 liters.
Final Answer:
(a) 10 liters
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A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?a) 10 litresb) 12 litresc) 15 litresd) 8 litresCorrect answer is option 'A'. Can you explain this answer?
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