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A mixture of 70 litres contains milk and water in ratio of 3 :4. How many litres of milk must be added to the mixture so as to make the ratio 5 : 4?
  • a)
    10 litres
  • b)
    15 litres
  • c)
    20 litres
  • d)
    25 litres
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A mixture of 70 litres contains milk and water in ratio of 3 :4. How ...
Milk : Water
New ratio 5 : 4
Old ratio 3 : 4
Difference 2 : 0
Sum of old ratios = 3 + 4 = 7
∴ Milk added = (2/7)×70=20 litres.
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Most Upvoted Answer
A mixture of 70 litres contains milk and water in ratio of 3 :4. How ...
Given:
- A mixture of 70 litres contains milk and water in ratio of 3 : 4
- We need to add milk to make the ratio 5 : 4

To solve this problem, we can use the following steps:

Step 1: Find the amount of milk and water in the original mixture
Let the amount of milk in the mixture be 3x and the amount of water be 4x.
Then, we have:
- 3x + 4x = 70 (total amount of mixture)
- 7x = 70
- x = 10

So, the amount of milk in the mixture is 3x = 30 litres and the amount of water is 4x = 40 litres.

Step 2: Find the amount of milk needed to make the new ratio
Let the amount of milk to be added be y litres.
Then, we have:
- (30 + y) / (40) = 5/4 (new ratio)
- 120 + 4y = 200
- 4y = 80
- y = 20

So, we need to add 20 litres of milk to the mixture.

Therefore, the correct answer is option C) 20 litres.
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A mixture of 70 litres contains milk and water in ratio of 3 :4. How many litres of milk must be added to the mixture so as to make the ratio 5 : 4?a)10 litresb)15 litresc)20 litresd)25 litresCorrect answer is option 'C'. Can you explain this answer?
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