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Mixture A contain water and milk in the ratio 2 : 5 and mixture B contain them in the ratio 3 : 4 respectively. Equal quantities from both the mixture are taken and mixed to form mixture C. What is the ratio of milk to water in mixture C?
- a)17 : 3
- b)9 : 5
- c)13 : 6
- d)10 : 7
- e)12 : 5
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Mixture A contain water and milk in the ratio 2 : 5 and mixture B cont...
B) 9 : 5
Explanation: Let x litres taken from both mixtures, Then new ratio of milk to water is [5/(5+2)] * x + [4/(3+4)] * x : [2/(5+2)] * x + [3/(3+4)] * x
Explanation: Let x litres taken from both mixtures, Then new ratio of milk to water is [5/(5+2)] * x + [4/(3+4)] * x : [2/(5+2)] * x + [3/(3+4)] * x
Most Upvoted Answer
Mixture A contain water and milk in the ratio 2 : 5 and mixture B cont...
To find the ratio of milk to water in mixture C, we need to determine the quantities of milk and water in the original mixtures A and B, and then combine them in equal quantities to form mixture C.
Step 1: Determine the quantities of milk and water in mixture A
Given that the ratio of water to milk in mixture A is 2:5, let's assume that the total quantity of the mixture is 7 units (2 + 5). This means that there are 2/7 parts of water and 5/7 parts of milk in mixture A.
Step 2: Determine the quantities of milk and water in mixture B
Given that the ratio of water to milk in mixture B is 3:4, let's assume that the total quantity of the mixture is 7 units (3 + 4). This means that there are 3/7 parts of water and 4/7 parts of milk in mixture B.
Step 3: Combine mixtures A and B in equal quantities to form mixture C
Since the quantities of mixtures A and B are assumed to be in the ratio of 7:7, we can combine them equally to form mixture C. Therefore, mixture C will have 2/7 parts of water + 3/7 parts of water = 5/7 parts of water, and 5/7 parts of milk + 4/7 parts of milk = 9/7 parts of milk.
Step 4: Simplify the ratio of milk to water in mixture C
To simplify the ratio, we divide both parts of milk and water by their greatest common divisor, which is 7.
(9/7) ÷ (5/7) = 9/5
Therefore, the ratio of milk to water in mixture C is 9:5, which corresponds to option B.
Step 1: Determine the quantities of milk and water in mixture A
Given that the ratio of water to milk in mixture A is 2:5, let's assume that the total quantity of the mixture is 7 units (2 + 5). This means that there are 2/7 parts of water and 5/7 parts of milk in mixture A.
Step 2: Determine the quantities of milk and water in mixture B
Given that the ratio of water to milk in mixture B is 3:4, let's assume that the total quantity of the mixture is 7 units (3 + 4). This means that there are 3/7 parts of water and 4/7 parts of milk in mixture B.
Step 3: Combine mixtures A and B in equal quantities to form mixture C
Since the quantities of mixtures A and B are assumed to be in the ratio of 7:7, we can combine them equally to form mixture C. Therefore, mixture C will have 2/7 parts of water + 3/7 parts of water = 5/7 parts of water, and 5/7 parts of milk + 4/7 parts of milk = 9/7 parts of milk.
Step 4: Simplify the ratio of milk to water in mixture C
To simplify the ratio, we divide both parts of milk and water by their greatest common divisor, which is 7.
(9/7) ÷ (5/7) = 9/5
Therefore, the ratio of milk to water in mixture C is 9:5, which corresponds to option B.
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