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A dishonest milk man mixed 1 liter of water for every 3 liters of milk and thus made up 36 liters of milk. If he now adds 15 liters of milk to mixture, find the ratio of milk and water in the new mixture.
- a)12 : 5
- b)14 : 3
- c)7 : 2
- d)9 : 4
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A dishonest milk man mixed 1 liter of water for every 3 liters of milk...
14 : 3
Quantity of milk and water in the 36 liter mixture;
27 milk liter and 9 liter water.
Now, 15 liters milk is added then milk becomes 42 liters.
Now, ratio= 42:9=14:3
Quantity of milk and water in the 36 liter mixture;
27 milk liter and 9 liter water.
Now, 15 liters milk is added then milk becomes 42 liters.
Now, ratio= 42:9=14:3
Most Upvoted Answer
A dishonest milk man mixed 1 liter of water for every 3 liters of milk...
Given information:
- The milkman mixed 1 liter of water for every 3 liters of milk and made up 36 liters of milk.
- He added 15 liters of milk to the mixture.
To find:
The ratio of milk and water in the new mixture.
Solution:
Step 1: Let's find the initial amount of milk and water in the mixture.
- The ratio of milk to water is 3:1 (since he mixed 3 liters of milk with 1 liter of water).
- Let's assume the initial amount of milk in the mixture was 3x, then the amount of water would be x.
- So, the total initial quantity of mixture = 3x + x = 4x.
- We know that the total quantity of mixture was 36 liters, so
4x = 36
x = 9
- Therefore, the initial amount of milk in the mixture was 3x = 3 × 9 = 27 liters, and the initial amount of water was x = 9 liters.
Step 2: Now let's find the final amount of milk and water in the mixture after adding 15 liters of milk.
- The total amount of milk in the new mixture = 27 + 15 = 42 liters
- The total amount of water remains the same = 9 liters
- So, the ratio of milk to water in the new mixture = 42:9
- We can simplify this ratio by dividing both numbers by 3 (since both are divisible by 3):
42/3 : 9/3
14 : 3
Therefore, the ratio of milk to water in the new mixture is 14:3 (option B).
Answer: Option B (14:3)
- The milkman mixed 1 liter of water for every 3 liters of milk and made up 36 liters of milk.
- He added 15 liters of milk to the mixture.
To find:
The ratio of milk and water in the new mixture.
Solution:
Step 1: Let's find the initial amount of milk and water in the mixture.
- The ratio of milk to water is 3:1 (since he mixed 3 liters of milk with 1 liter of water).
- Let's assume the initial amount of milk in the mixture was 3x, then the amount of water would be x.
- So, the total initial quantity of mixture = 3x + x = 4x.
- We know that the total quantity of mixture was 36 liters, so
4x = 36
x = 9
- Therefore, the initial amount of milk in the mixture was 3x = 3 × 9 = 27 liters, and the initial amount of water was x = 9 liters.
Step 2: Now let's find the final amount of milk and water in the mixture after adding 15 liters of milk.
- The total amount of milk in the new mixture = 27 + 15 = 42 liters
- The total amount of water remains the same = 9 liters
- So, the ratio of milk to water in the new mixture = 42:9
- We can simplify this ratio by dividing both numbers by 3 (since both are divisible by 3):
42/3 : 9/3
14 : 3
Therefore, the ratio of milk to water in the new mixture is 14:3 (option B).
Answer: Option B (14:3)
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Community Answer
A dishonest milk man mixed 1 liter of water for every 3 liters of milk...
Given:
For every 1 litre of water there is 3 litres of milk.
Total quantity of milk is 36 litres
Calculation:
Milk and water ratio in the milk = 3:1
4 units = 36 litres
1 unit = 9 units
Pure milk = 9×3 =27 litres
Water = 9×1 =9 litres
According to question
15 litres of pure milk is poured in the mixture
Now the amount of milk becomes in the mixture = 15+27 = 42 litres
Now the ratio of milk and water = 42:9 = 14:3
Required ratio is 14:3
For every 1 litre of water there is 3 litres of milk.
Total quantity of milk is 36 litres
Calculation:
Milk and water ratio in the milk = 3:1
4 units = 36 litres
1 unit = 9 units
Pure milk = 9×3 =27 litres
Water = 9×1 =9 litres
According to question
15 litres of pure milk is poured in the mixture
Now the amount of milk becomes in the mixture = 15+27 = 42 litres
Now the ratio of milk and water = 42:9 = 14:3
Required ratio is 14:3
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A dishonest milk man mixed 1 liter of water for every 3 liters of milk and thus made up 36 liters of milk. If he now adds 15 liters of milk to mixture, find the ratio of milk and water in the new mixture.a)12 : 5b)14 : 3c)7 : 2d)9 : 4Correct answer is option 'B'. Can you explain this answer?
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