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A 144 litres of mixture contains milk and water in the ratio 5 : 7. How much milk need to be added to this mixture so that the new ratio is 23 : 21 respectively?
- a)36 litres
- b)40 litres
- c)28 litres
- d)32 litres
- e)30 litres
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A 144 litres of mixture contains milk and water in the ratio 5 : 7. Ho...
Answer – D.32 litres Explanation : 144 == 5:7
60 : 84
Now == 21 = 84 23 = 92
92-60 = 32
60 : 84
Now == 21 = 84 23 = 92
92-60 = 32
Most Upvoted Answer
A 144 litres of mixture contains milk and water in the ratio 5 : 7. Ho...
Answer – D.32 litres Explanation : 144 == 5:7
60 : 84
Now == 21 = 84 23 = 92
92-60 = 32
60 : 84
Now == 21 = 84 23 = 92
92-60 = 32
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Community Answer
A 144 litres of mixture contains milk and water in the ratio 5 : 7. Ho...
Given information:
- Total quantity of mixture = 144 litres
- Ratio of milk to water in the mixture = 5 : 7
- Desired ratio of milk to water = 23 : 21
Let's solve this problem step by step.
Step 1: Calculation of current quantities
- Let the quantity of milk in the mixture be 5x litres.
- Let the quantity of water in the mixture be 7x litres.
According to the given information, the total quantity of the mixture is 144 litres.
So, 5x + 7x = 144
=> 12x = 144
=> x = 144/12
=> x = 12
Therefore, the current quantity of milk in the mixture = 5x = 5 * 12 = 60 litres
And the current quantity of water in the mixture = 7x = 7 * 12 = 84 litres
Step 2: Calculation of additional milk required
- Let the quantity of milk to be added be 'y' litres.
According to the desired ratio, the quantity of milk in the new mixture should be 23 units.
So, the quantity of milk in the new mixture = 60 + y litres
According to the desired ratio, the quantity of water in the new mixture should be 21 units.
So, the quantity of water in the new mixture = 84 litres
Step 3: Calculation of new total quantity
The total quantity of the new mixture = (60 + y) + 84 = 144 + y litres
Step 4: Calculation of additional milk required to achieve the desired ratio
According to the new ratio, the quantity of milk to water = 23 : 21
So, (60 + y) : 84 = 23 : 21
Cross multiplying, we get:
(60 + y) * 21 = 84 * 23
=> 1260 + 21y = 1932
=> 21y = 1932 - 1260
=> 21y = 672
=> y = 672/21
=> y = 32
Therefore, the additional quantity of milk required to achieve the desired ratio is 32 litres.
Hence, the correct answer is option D) 32 litres.
- Total quantity of mixture = 144 litres
- Ratio of milk to water in the mixture = 5 : 7
- Desired ratio of milk to water = 23 : 21
Let's solve this problem step by step.
Step 1: Calculation of current quantities
- Let the quantity of milk in the mixture be 5x litres.
- Let the quantity of water in the mixture be 7x litres.
According to the given information, the total quantity of the mixture is 144 litres.
So, 5x + 7x = 144
=> 12x = 144
=> x = 144/12
=> x = 12
Therefore, the current quantity of milk in the mixture = 5x = 5 * 12 = 60 litres
And the current quantity of water in the mixture = 7x = 7 * 12 = 84 litres
Step 2: Calculation of additional milk required
- Let the quantity of milk to be added be 'y' litres.
According to the desired ratio, the quantity of milk in the new mixture should be 23 units.
So, the quantity of milk in the new mixture = 60 + y litres
According to the desired ratio, the quantity of water in the new mixture should be 21 units.
So, the quantity of water in the new mixture = 84 litres
Step 3: Calculation of new total quantity
The total quantity of the new mixture = (60 + y) + 84 = 144 + y litres
Step 4: Calculation of additional milk required to achieve the desired ratio
According to the new ratio, the quantity of milk to water = 23 : 21
So, (60 + y) : 84 = 23 : 21
Cross multiplying, we get:
(60 + y) * 21 = 84 * 23
=> 1260 + 21y = 1932
=> 21y = 1932 - 1260
=> 21y = 672
=> y = 672/21
=> y = 32
Therefore, the additional quantity of milk required to achieve the desired ratio is 32 litres.
Hence, the correct answer is option D) 32 litres.
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A 144 litres of mixture contains milk and water in the ratio 5 : 7. How much milk need to be added to this mixture so that the new ratio is 23 : 21 respectively?a)36 litresb)40 litresc)28 litresd)32 litrese)30 litresCorrect answer is option 'D'. Can you explain this answer?
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