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Two cans of 60 and 80 litres are filled with the mixtures of milk and water. The proportion of milk and water in the cans being 5:7 and 9:7 respectively. If the contents of the two cans are mixed and 30 litres of the water is added to the whole, then find the ratio of milk and water in the final mixture?
- a)7:9
- b)7:10
- c)8:11
- d)9:7
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two cans of 60 and 80 litres are filled with the mixtures of milk and ...
Answer – b) 7:10 Explanation : milk = 60*5/12 = 25 and water = 60*7/12 = 35 milk = 80*9/16 = 45 and water = 80*7/16 = 35 milk = 70 and water = 70 + 30 = 100
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Two cans of 60 and 80 litres are filled with the mixtures of milk and ...
Problem: Two cans of 60 and 80 litres are filled with the mixtures of milk and water. The proportion of milk and water in the cans being 5:7 and 9:7 respectively. If the contents of the two cans are mixed and 30 litres of the water is added to the whole, then find the ratio of milk and water in the final mixture.
Solution:
Given that:
- Two cans of 60 and 80 litres are filled with the mixtures of milk and water.
- The proportion of milk and water in the first can is 5:7.
- The proportion of milk and water in the second can is 9:7.
- 30 litres of water is added to the whole mixture.
Let's find out the quantity of milk and water in each can:
- For the first can of 60 litres, the ratio of milk and water is 5:7, which means it has
- 5/12 * 60 = 25 litres of milk
- 7/12 * 60 = 35 litres of water
- For the second can of 80 litres, the ratio of milk and water is 9:7, which means it has
- 9/16 * 80 = 45 litres of milk
- 7/16 * 80 = 35 litres of water
When we mix the contents of the two cans, we get a total of:
- 60 + 80 = 140 litres
- Milk = 25 + 45 = 70 litres
- Water = 35 + 35 = 70 litres
Now, we add 30 litres of water to the mixture, which gives us a total of:
- Milk = 70 litres
- Water = 70 + 30 = 100 litres
Therefore, the ratio of milk to water in the final mixture is:
- Milk:Water = 70:100
- Simplifying the ratio, we get
- Milk:Water = 7:10
Hence, the correct answer is option (b) 7:10.
Solution:
Given that:
- Two cans of 60 and 80 litres are filled with the mixtures of milk and water.
- The proportion of milk and water in the first can is 5:7.
- The proportion of milk and water in the second can is 9:7.
- 30 litres of water is added to the whole mixture.
Let's find out the quantity of milk and water in each can:
- For the first can of 60 litres, the ratio of milk and water is 5:7, which means it has
- 5/12 * 60 = 25 litres of milk
- 7/12 * 60 = 35 litres of water
- For the second can of 80 litres, the ratio of milk and water is 9:7, which means it has
- 9/16 * 80 = 45 litres of milk
- 7/16 * 80 = 35 litres of water
When we mix the contents of the two cans, we get a total of:
- 60 + 80 = 140 litres
- Milk = 25 + 45 = 70 litres
- Water = 35 + 35 = 70 litres
Now, we add 30 litres of water to the mixture, which gives us a total of:
- Milk = 70 litres
- Water = 70 + 30 = 100 litres
Therefore, the ratio of milk to water in the final mixture is:
- Milk:Water = 70:100
- Simplifying the ratio, we get
- Milk:Water = 7:10
Hence, the correct answer is option (b) 7:10.
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Two cans of 60 and 80 litres are filled with the mixtures of milk and water. The proportion of milk and water in the cans being 5:7 and 9:7 respectively. If the contents of the two cans are mixed and 30 litres of the water is added to the whole, then find the ratio of milk and water in the final mixture?a)7:9b)7:10c)8:11d)9:7e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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