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The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the quantity of water to be added to the mixture in order to make this ratio 6 : 1.
- a)30 liter
- b)32 liter
- c)33 liter
- d)35 liter
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the q...
33
Let water= 7x and milk= 3x. This will give us water in the mixture as 21 liter and 9 liter milk.
Now, we keep milk constant and add water to mixture to get ratio 6:1.
This will give 54 liter and of water and 9 liter milk.
Then extra water to be added is 33 liter.
Let water= 7x and milk= 3x. This will give us water in the mixture as 21 liter and 9 liter milk.
Now, we keep milk constant and add water to mixture to get ratio 6:1.
This will give 54 liter and of water and 9 liter milk.
Then extra water to be added is 33 liter.
Most Upvoted Answer
The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the q...
Problem: The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the quantity of water to be added to the mixture in order to make this ratio 6 : 1.
Solution:
Given that the ratio of water and milk in the mixture is 7:3.
Let the quantity of water in the mixture be 7x and the quantity of milk be 3x.
Total quantity of mixture = 30 liters
Therefore, 7x + 3x = 30
Simplifying, we get 10x = 30
So, x = 3
Hence, the current quantity of water in the mixture = 7x = 7*3 = 21 liters
And the current quantity of milk in the mixture = 3x = 3*3 = 9 liters
Now, we need to add some quantity of water to make the ratio 6:1.
Let's assume we need to add y liters of water.
So, the new quantity of water in the mixture will be 21 + y liters.
And the new quantity of milk in the mixture will be 9 liters (as we are not adding any milk).
The new ratio of water and milk will be 6:1.
Therefore, (21+y)/9 = 6/1
Cross-multiplying, we get 21+y = 54
Simplifying, we get y = 33 liters.
Hence, the quantity of water to be added to the mixture is 33 liters.
Answer: Option C (33 liters)
Solution:
Given that the ratio of water and milk in the mixture is 7:3.
Let the quantity of water in the mixture be 7x and the quantity of milk be 3x.
Total quantity of mixture = 30 liters
Therefore, 7x + 3x = 30
Simplifying, we get 10x = 30
So, x = 3
Hence, the current quantity of water in the mixture = 7x = 7*3 = 21 liters
And the current quantity of milk in the mixture = 3x = 3*3 = 9 liters
Now, we need to add some quantity of water to make the ratio 6:1.
Let's assume we need to add y liters of water.
So, the new quantity of water in the mixture will be 21 + y liters.
And the new quantity of milk in the mixture will be 9 liters (as we are not adding any milk).
The new ratio of water and milk will be 6:1.
Therefore, (21+y)/9 = 6/1
Cross-multiplying, we get 21+y = 54
Simplifying, we get y = 33 liters.
Hence, the quantity of water to be added to the mixture is 33 liters.
Answer: Option C (33 liters)
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The ratio of water and milk in a 30 liter mixture is 7 : 3. Find the quantity of water to be added to the mixture in order to make this ratio 6 : 1.a)30 literb)32 literc)33 literd)35 literCorrect answer is option 'C'. Can you explain this answer?
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