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We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?
- a)13 : 27
- b)13 : 15
- c)27 : 15
- d)1 : 9
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
We have two solutions of milk - A and B. Solution A contains milk and ...
The Problem:
We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?
Understanding the problem:
We have two solutions, A and B, with different ratios of milk and water. We are asked to find the ratio of milk and water in the new solution formed by mixing equal quantities of both solutions.
Solution:
Let's assume that we have 1 litre of solution A and 1 litre of solution B.
Calculating the quantities of milk and water in solution A:
Given that the ratio of milk to water in solution A is 1:3, we can calculate the quantities of milk and water in solution A as follows:
- Milk in solution A = (1/4) * 1 litre = 1/4 litre
- Water in solution A = (3/4) * 1 litre = 3/4 litre
Calculating the quantities of milk and water in solution B:
Given that the ratio of milk to water in solution B is 2:3, we can calculate the quantities of milk and water in solution B as follows:
- Milk in solution B = (2/5) * 1 litre = 2/5 litre
- Water in solution B = (3/5) * 1 litre = 3/5 litre
Mixing the solutions:
When we mix equal quantities of solution A and solution B, we are essentially mixing 1/2 litre of solution A with 1/2 litre of solution B.
Calculating the quantities of milk and water in the new solution:
To find the ratio of milk and water in the new solution, we need to add up the quantities of milk and water from both solutions.
- Milk in the new solution = (1/4 + 2/5) litre = (5/20 + 8/20) litre = 13/20 litre
- Water in the new solution = (3/4 + 3/5) litre = (15/20 + 12/20) litre = 27/20 litre
Calculating the ratio of milk and water in the new solution:
The ratio of milk to water in the new solution can be calculated by dividing the quantity of milk by the quantity of water.
- Ratio of milk to water = (13/20) / (27/20) = 13/27
Therefore, the ratio of milk to water in the new solution is 13:27.
Conclusion:
After mixing equal quantities of solution A and solution B, the ratio of milk to water in the new solution is 13:27.
We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?
Understanding the problem:
We have two solutions, A and B, with different ratios of milk and water. We are asked to find the ratio of milk and water in the new solution formed by mixing equal quantities of both solutions.
Solution:
Let's assume that we have 1 litre of solution A and 1 litre of solution B.
Calculating the quantities of milk and water in solution A:
Given that the ratio of milk to water in solution A is 1:3, we can calculate the quantities of milk and water in solution A as follows:
- Milk in solution A = (1/4) * 1 litre = 1/4 litre
- Water in solution A = (3/4) * 1 litre = 3/4 litre
Calculating the quantities of milk and water in solution B:
Given that the ratio of milk to water in solution B is 2:3, we can calculate the quantities of milk and water in solution B as follows:
- Milk in solution B = (2/5) * 1 litre = 2/5 litre
- Water in solution B = (3/5) * 1 litre = 3/5 litre
Mixing the solutions:
When we mix equal quantities of solution A and solution B, we are essentially mixing 1/2 litre of solution A with 1/2 litre of solution B.
Calculating the quantities of milk and water in the new solution:
To find the ratio of milk and water in the new solution, we need to add up the quantities of milk and water from both solutions.
- Milk in the new solution = (1/4 + 2/5) litre = (5/20 + 8/20) litre = 13/20 litre
- Water in the new solution = (3/4 + 3/5) litre = (15/20 + 12/20) litre = 27/20 litre
Calculating the ratio of milk and water in the new solution:
The ratio of milk to water in the new solution can be calculated by dividing the quantity of milk by the quantity of water.
- Ratio of milk to water = (13/20) / (27/20) = 13/27
Therefore, the ratio of milk to water in the new solution is 13:27.
Conclusion:
After mixing equal quantities of solution A and solution B, the ratio of milk to water in the new solution is 13:27.
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Community Answer
We have two solutions of milk - A and B. Solution A contains milk and ...
In A, every part of milk has 3 part of water and in B every 2 parts of milk has 3 parts water.
let A be 4ltrs and B be 5 liters.
new solution has 1 liter from each
which means from A - 1/4 water + from B 2/5 water = 5+8/20 = 13/20 --(1)
also means from A 3/4 milk + from B 3/5 milk = 15+12/20=27/20--(2)
(1)/(2)
13/27
let A be 4ltrs and B be 5 liters.
new solution has 1 liter from each
which means from A - 1/4 water + from B 2/5 water = 5+8/20 = 13/20 --(1)
also means from A 3/4 milk + from B 3/5 milk = 15+12/20=27/20--(2)
(1)/(2)
13/27
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We have two solutions of milk - A and B. Solution A contains milk and water in the ratio of 1 : 3 and solution B contains the same in the ratio of 2 : 3. If we mix both in equal quantities, then what is the ratio of milk and water in the new solution?a)13 : 27b)13 : 15c)27 : 15d)1 : 9Correct answer is option 'A'. Can you explain this answer?
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