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A and B are two mixtures of milk and water. The ratio of milk to water in A is 9 : 2 and the ratio of milk to water in B is 16 : 21. The ratio of the difference between the quantity of milk in A and B to the total quantity of water in A and B is 5 : 3. What is the ratio of the total quantity of mixture A to that of mixture B? (Quantity of milk in A > Quantity of milk in B)
- a)43 : 13
- b)99 : 37
- c)105 : 41
- d)201 : 74
Correct answer is option 'B'. Can you explain this answer?
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A and B are two mixtures of milk and water. The ratio of milk to water...
Given Information:
- Ratio of milk to water in A: 9:2
- Ratio of milk to water in B: 16:21
- Ratio of difference in milk quantity to total water quantity: 5:3
Solution:
1. Let the quantities of milk and water in mixtures A and B be 9x, 2x and 16y, 21y respectively.
2. According to the given ratio of the difference in milk quantity to total water quantity:
(9x - 16y) : (2x + 21y) = 5 : 3
3. Solving the above equation, we get x/y = 7/6.
4. The ratio of total quantity of mixture A to that of mixture B:
(9x + 2x) : (16y + 21y) = 11x : 37y = 99 : 37
Therefore, the correct answer is option B) 99 : 37.
- Ratio of milk to water in A: 9:2
- Ratio of milk to water in B: 16:21
- Ratio of difference in milk quantity to total water quantity: 5:3
Solution:
1. Let the quantities of milk and water in mixtures A and B be 9x, 2x and 16y, 21y respectively.
2. According to the given ratio of the difference in milk quantity to total water quantity:
(9x - 16y) : (2x + 21y) = 5 : 3
3. Solving the above equation, we get x/y = 7/6.
4. The ratio of total quantity of mixture A to that of mixture B:
(9x + 2x) : (16y + 21y) = 11x : 37y = 99 : 37
Therefore, the correct answer is option B) 99 : 37.
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Community Answer
A and B are two mixtures of milk and water. The ratio of milk to water...
In A- Milk : Water = 9 : 2
Let milk = 9a and water = 2a
In B- Milk : Water = 16 : 21
Let milk = 16b and water = 21b
(9a – 16b) : (2a + 21b) = 5 : 3
a : b = 9 : 1
Reqd. ratio = 11a : 37b
11 × 9 : 37 × 1 = 99 : 37
Hence, option B is correct.
Let milk = 9a and water = 2a
In B- Milk : Water = 16 : 21
Let milk = 16b and water = 21b
(9a – 16b) : (2a + 21b) = 5 : 3
a : b = 9 : 1
Reqd. ratio = 11a : 37b
11 × 9 : 37 × 1 = 99 : 37
Hence, option B is correct.
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A and B are two mixtures of milk and water. The ratio of milk to water in A is 9 : 2 and the ratio of milk to water in B is 16 : 21. The ratio of the difference between the quantity of milk in A and B to the total quantity of water in A and B is 5 : 3. What is the ratio of the total quantity of mixture A to that of mixture B? (Quantity of milk in A > Quantity of milk in B)a)43 : 13b)99 : 37c)105 : 41d)201 : 74Correct answer is option 'B'. Can you explain this answer?
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