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There are two mixtures A and B of milk and water. The ratio of water to milk in Mixture A is 5 : 3 and the ratio of milk to water in Mixture B is 3 : 1. If 200 liters of both the mixtures are mixed, what is the percentage of water in the resultant mixture?
  • a)
    33.75
  • b)
    36
  • c)
    40
  • d)
    43.75
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
There are two mixtures A and B of milk and water. The ratio of water t...

Hence, Option D is correct.
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There are two mixtures A and B of milk and water. The ratio of water t...
Calculation:

Step 1: Find the amount of milk and water in each mixture
- In Mixture A:
Water : Milk = 5 : 3
Let the amount of water be 5x and the amount of milk be 3x
Total amount in Mixture A = 5x + 3x = 8x
- In Mixture B:
Milk : Water = 3 : 1
Let the amount of milk be 3y and the amount of water be y
Total amount in Mixture B = 3y + y = 4y

Step 2: Calculate the total amount of water and milk in the resultant mixture
- Total amount of water = 5x + y
- Total amount of milk = 3x + 3y

Step 3: Solve for x and y
- From Step 1:
8x = 200 (for Mixture A)
x = 25 liters
4y = 200 (for Mixture B)
y = 50 liters

Step 4: Calculate the percentage of water in the resultant mixture
- Total amount of water in resultant mixture = 5(25) + 50 = 175 liters
- Total amount of mixture = 200 + 200 = 400 liters
Percentage of water in the resultant mixture = (175/400) * 100 = 43.75%
Therefore, the correct answer is option D) 43.75%.
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There are two mixtures A and B of milk and water. The ratio of water to milk in Mixture A is 5 : 3 and the ratio of milk to water in Mixture B is 3 : 1. If 200 liters of both the mixtures are mixed, what is the percentage of water in the resultant mixture?a)33.75b)36c)40d)43.75Correct answer is option 'D'. Can you explain this answer?
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