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A certain amount of milk is added to the 150 liters of 3 : 7 milk-water solution. Find the quantity of the milk present in the final mixture, if the ratio of the milk and water in the final solution is 5 : 7?
- a)30 l
- b)60 l
- c)45 l
- d)75 l
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A certain amount of milk is added to the 150 liters of 3 : 7 milk-wat...
Given:
Initial quantity of milk-water solution = 150 liters
Ratio of milk and water in the initial solution = 3 : 7
Ratio of milk and water in the final solution = 5 : 7
To find:
Quantity of milk in the final mixture
Solution:
Let's assume that x liters of milk is added to the initial solution.
So, the quantity of milk in the initial solution = (3/10) * 150 = 45 liters
And the quantity of water in the initial solution = (7/10) * 150 = 105 liters
After adding x liters of milk to this solution, the quantity of milk in the solution becomes 45 + x, and the quantity of water remains the same, i.e., 105 liters.
Now, the ratio of milk and water in the final solution is given as 5 : 7. So, we can write:
(45 + x)/105 = 5/7
Cross-multiplying, we get:
7(45 + x) = 5 * 105
315 + 7x = 525
7x = 210
x = 30
Therefore, the quantity of milk in the final mixture = 45 + x = 45 + 30 = 75 liters
Hence, the correct answer is option D, i.e., 75 liters.
Initial quantity of milk-water solution = 150 liters
Ratio of milk and water in the initial solution = 3 : 7
Ratio of milk and water in the final solution = 5 : 7
To find:
Quantity of milk in the final mixture
Solution:
Let's assume that x liters of milk is added to the initial solution.
So, the quantity of milk in the initial solution = (3/10) * 150 = 45 liters
And the quantity of water in the initial solution = (7/10) * 150 = 105 liters
After adding x liters of milk to this solution, the quantity of milk in the solution becomes 45 + x, and the quantity of water remains the same, i.e., 105 liters.
Now, the ratio of milk and water in the final solution is given as 5 : 7. So, we can write:
(45 + x)/105 = 5/7
Cross-multiplying, we get:
7(45 + x) = 5 * 105
315 + 7x = 525
7x = 210
x = 30
Therefore, the quantity of milk in the final mixture = 45 + x = 45 + 30 = 75 liters
Hence, the correct answer is option D, i.e., 75 liters.
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Community Answer
A certain amount of milk is added to the 150 liters of 3 : 7 milk-wat...
30+45 =75Calculation
Total volume of milk in 150 liter solution

⇒ Total volume of water in the solution = 150 - 45 = 105 l
Let the quantity of milk added be "a"
According to the question-

⇒ a + 45 = 75
∴ a = 30 l
Total quantity of milk in the final solution = 45 + 30 = 75 l
The quantity of milk that should be added is 75 l.
Total volume of milk in 150 liter solution

⇒ Total volume of water in the solution = 150 - 45 = 105 l
Let the quantity of milk added be "a"
According to the question-

⇒ a + 45 = 75
∴ a = 30 l
Total quantity of milk in the final solution = 45 + 30 = 75 l
The quantity of milk that should be added is 75 l.
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A certain amount of milk is added to the 150 liters of 3 : 7 milk-water solution. Find the quantity of the milk present in the final mixture, if the ratio of the milk and water in the final solution is 5 : 7?a)30 lb)60 lc)45 ld)75 lCorrect answer is option 'D'. Can you explain this answer?
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