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A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.?
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A mixture contains 80litres of acetone and water. if 60 litres of wate...
Understanding the Mixture
The initial mixture comprises 80 litres of acetone and water. The quantities of acetone and water in the original mixture are crucial for further calculations.
Adding Water to the Mixture
- After adding 60 litres of water, the total volume becomes:
- Total Volume = 80 litres + 60 litres = 140 litres
Extracting the Mixture
- Next, 30% of the total mixture is taken out:
- Amount Taken Out = 30% of 140 litres = 42 litres
Ratio of Acetone to Water in the Extracted Mixture
- The ratio of acetone to water in the 42 litres taken out is 4:5.
- Let the quantities of acetone and water taken out be:
- Acetone = (4/9) * 42 litres = 18.67 litres
- Water = (5/9) * 42 litres = 23.33 litres
Initial Quantity of Mixture
- Initially, there were 80 litres of the mixture, which included both acetone and water.
- After extracting, the remaining mixture consists of:
- Remaining Acetone = 80 litres - 18.67 litres = 61.33 litres
- Remaining Water = (Total Water initially) - (Water Taken Out)
- Total Water Initially = 80 litres - Acetone = 80 litres - (80 - 61.33) = 61.33 litres
- Remaining Water = 61.33 litres - 23.33 litres = 38 litres
Conclusion
- The initial quantity of the mixture is confirmed to be 80 litres, comprising both acetone and water, before any alterations were made.
- The calculations showcase how the mixture transforms with the addition of water and extraction of specific ratios.
The initial mixture comprises 80 litres of acetone and water. The quantities of acetone and water in the original mixture are crucial for further calculations.
Adding Water to the Mixture
- After adding 60 litres of water, the total volume becomes:
- Total Volume = 80 litres + 60 litres = 140 litres
Extracting the Mixture
- Next, 30% of the total mixture is taken out:
- Amount Taken Out = 30% of 140 litres = 42 litres
Ratio of Acetone to Water in the Extracted Mixture
- The ratio of acetone to water in the 42 litres taken out is 4:5.
- Let the quantities of acetone and water taken out be:
- Acetone = (4/9) * 42 litres = 18.67 litres
- Water = (5/9) * 42 litres = 23.33 litres
Initial Quantity of Mixture
- Initially, there were 80 litres of the mixture, which included both acetone and water.
- After extracting, the remaining mixture consists of:
- Remaining Acetone = 80 litres - 18.67 litres = 61.33 litres
- Remaining Water = (Total Water initially) - (Water Taken Out)
- Total Water Initially = 80 litres - Acetone = 80 litres - (80 - 61.33) = 61.33 litres
- Remaining Water = 61.33 litres - 23.33 litres = 38 litres
Conclusion
- The initial quantity of the mixture is confirmed to be 80 litres, comprising both acetone and water, before any alterations were made.
- The calculations showcase how the mixture transforms with the addition of water and extraction of specific ratios.
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A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.?
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A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.?.
A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.?.
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A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.?, a detailed solution for A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.? has been provided alongside types of A mixture contains 80litres of acetone and water. if 60 litres of water is added in the mixture and then 30% of the mixture is taken out such that ratio of the quantity of acetone to water is taken out mixture is 4:5. find initial quantity of mixture.? theory, EduRev gives you an
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