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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?
Most Upvoted Answer
A mixture of 150 liters of wine and water contains 20% water. How much...
Given:
Initial mixture contains 20% water
Volume of the mixture = 150 liters

To find:
Amount of water to be added to make the water 25% of the new mixture

Solution:

Step 1: Let's assume that x liters of water is added to the mixture.

Step 2: After adding x liters of water, the new volume of the mixture will be 150 + x liters.

Step 3: As per the question, the new mixture should contain 25% water.

Step 4: Therefore, the amount of water in the new mixture should be:

25% of (150 + x) = 0.25(150 + x)

Step 5: We know that initially, the mixture contained 20% water. Therefore, the amount of water in the initial mixture was:

20% of 150 = 0.20(150) = 30 liters

Step 6: In the new mixture, the amount of water will be 30 + x liters.

Step 7: Now, we can set up an equation to solve for x:

30 + x = 0.25(150 + x)

Step 8: Solving for x, we get:

x = 10

Therefore, 10 liters of water should be added to the mixture to make water 25% of the new mixture.

Hence, the correct answer is option (a) 10 liters.
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Community Answer
A mixture of 150 liters of wine and water contains 20% water. How much...
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.
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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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