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A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution?
Most Upvoted Answer
A 70 litre mixture of water and milk contains milk and water in the ra...
**Given information:**
- Total volume of mixture = 70 litres
- Ratio of milk to water in the mixture = 2:3
**Step 1: Finding the initial quantities of milk and water in the mixture:**
Let's assume the quantity of milk in the mixture is 2x litres, and the quantity of water is 3x litres.
According to the given ratio, we can write the equation:
2x + 3x = 70
Simplifying the equation, we get:
5x = 70
x = 14
Hence, the initial quantity of milk = 2x = 2 * 14 = 28 litres
And the initial quantity of water = 3x = 3 * 14 = 42 litres
**Step 2: Adding 14 litres of milk to the mixture:**
Now, we add 14 litres of milk to the existing mixture.
Total quantity of milk after adding = initial quantity of milk + milk added
= 28 litres + 14 litres = 42 litres
**Step 3: Calculating the final ratio of milk to water:**
The final quantity of water remains the same as it was in the initial mixture, which is 42 litres.
Therefore, the ratio of milk to water in the resultant solution is:
42 : 42
Simplifying the ratio, we get:
1 : 1
Hence, the correct answer is 1:1, not 2:3 as given in the answer key.
Therefore, there might be an error in the answer provided. It is recommended to double-check the solution or consult the teacher or the textbook for clarification.
- Total volume of mixture = 70 litres
- Ratio of milk to water in the mixture = 2:3
**Step 1: Finding the initial quantities of milk and water in the mixture:**
Let's assume the quantity of milk in the mixture is 2x litres, and the quantity of water is 3x litres.
According to the given ratio, we can write the equation:
2x + 3x = 70
Simplifying the equation, we get:
5x = 70
x = 14
Hence, the initial quantity of milk = 2x = 2 * 14 = 28 litres
And the initial quantity of water = 3x = 3 * 14 = 42 litres
**Step 2: Adding 14 litres of milk to the mixture:**
Now, we add 14 litres of milk to the existing mixture.
Total quantity of milk after adding = initial quantity of milk + milk added
= 28 litres + 14 litres = 42 litres
**Step 3: Calculating the final ratio of milk to water:**
The final quantity of water remains the same as it was in the initial mixture, which is 42 litres.
Therefore, the ratio of milk to water in the resultant solution is:
42 : 42
Simplifying the ratio, we get:
1 : 1
Hence, the correct answer is 1:1, not 2:3 as given in the answer key.
Therefore, there might be an error in the answer provided. It is recommended to double-check the solution or consult the teacher or the textbook for clarification.
Community Answer
A 70 litre mixture of water and milk contains milk and water in the ra...
I think the given answer is wrong because I am also getting ratio of 1:1. Or may be the question is incomplete.
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A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution?
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A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution?.
A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 70 litre mixture of water and milk contains milk and water in the ratio 2:3. If 14liters of milk is added to this,what would be the ratio of milk:water in the resultant solution? Ans is given as 2:3 but I am getting the answer as 1:1 Can somebody explain the solution?.
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