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The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk?
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The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre ...
Understanding the Problem
The initial ratio of milk to water in the mixture is 3:7. After adding 10 liters of water, the new ratio becomes 1:3. We need to find the initial quantity of milk.
Defining Variables
- Let the initial quantity of milk be 3x liters.
- Let the initial quantity of water be 7x liters.
Setting Up the Equation
After adding 10 liters of water, the new quantity of water becomes:
- 7x + 10 liters
The mixture now has the ratio of milk to water as 1:3. This can be expressed as:
- (3x) / (7x + 10) = 1/3
Cross Multiplying to Solve
Cross-multiplying gives us:
- 3 * (3x) = 1 * (7x + 10)
This simplifies to:
- 9x = 7x + 10
Isolating x
By isolating x, we find:
- 9x - 7x = 10
- 2x = 10
- x = 5
Finding the Initial Quantity of Milk
Now, substituting x back to find the initial quantity of milk:
- Initial quantity of milk = 3x = 3 * 5 = 15 liters
Final Result
Thus, the initial quantity of milk in the mixture is:
- 15 liters
The initial ratio of milk to water in the mixture is 3:7. After adding 10 liters of water, the new ratio becomes 1:3. We need to find the initial quantity of milk.
Defining Variables
- Let the initial quantity of milk be 3x liters.
- Let the initial quantity of water be 7x liters.
Setting Up the Equation
After adding 10 liters of water, the new quantity of water becomes:
- 7x + 10 liters
The mixture now has the ratio of milk to water as 1:3. This can be expressed as:
- (3x) / (7x + 10) = 1/3
Cross Multiplying to Solve
Cross-multiplying gives us:
- 3 * (3x) = 1 * (7x + 10)
This simplifies to:
- 9x = 7x + 10
Isolating x
By isolating x, we find:
- 9x - 7x = 10
- 2x = 10
- x = 5
Finding the Initial Quantity of Milk
Now, substituting x back to find the initial quantity of milk:
- Initial quantity of milk = 3x = 3 * 5 = 15 liters
Final Result
Thus, the initial quantity of milk in the mixture is:
- 15 liters
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The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk?
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The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk?.
The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of milk and water in mixture is 3 ratio 7 be added 10 litre water to the mixture then the ratio become one ratio 3 find the initial quantity of milk?.
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