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A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.?
Most Upvoted Answer
A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of ...
Given information:
- The original mixture contains alcohol and water in the ratio 4:3.
- 7 liters of water is added to the mixture.
- After adding water, the ratio of alcohol and water becomes 3:4.
Let's solve the problem step by step:
Step 1: Understanding the initial mixture
- Let's assume that the original mixture contains 4x liters of alcohol and 3x liters of water.
- Therefore, the total volume of the original mixture is (4x + 3x) = 7x liters.
Step 2: Adding water
- 7 liters of water is added to the original mixture.
- So, the total volume of the mixture after adding water becomes (7x + 7) liters.
Step 3: Ratio after adding water
- After adding water, the ratio of alcohol and water becomes 3:4.
- This means that the volume of alcohol is 3 parts and the volume of water is 4 parts.
- So, the volume of alcohol is (3/7) * (7x + 7) liters.
- And the volume of water is (4/7) * (7x + 7) liters.
Step 4: Solving the equation
- We know that the volume of alcohol in the original mixture is 4x liters.
- Setting up the equation: 4x = (3/7) * (7x + 7)
- Solving the equation, we get: 4x = 3x + 3
- Simplifying further, we have: x = 3
Step 5: Finding the quantity of alcohol
- Now, we can substitute the value of x in the equation to find the quantity of alcohol.
- The quantity of alcohol in the original mixture is 4x = 4 * 3 = 12 liters.
Conclusion:
The quantity of alcohol in the mixture is 12 liters.
- The original mixture contains alcohol and water in the ratio 4:3.
- 7 liters of water is added to the mixture.
- After adding water, the ratio of alcohol and water becomes 3:4.
Let's solve the problem step by step:
Step 1: Understanding the initial mixture
- Let's assume that the original mixture contains 4x liters of alcohol and 3x liters of water.
- Therefore, the total volume of the original mixture is (4x + 3x) = 7x liters.
Step 2: Adding water
- 7 liters of water is added to the original mixture.
- So, the total volume of the mixture after adding water becomes (7x + 7) liters.
Step 3: Ratio after adding water
- After adding water, the ratio of alcohol and water becomes 3:4.
- This means that the volume of alcohol is 3 parts and the volume of water is 4 parts.
- So, the volume of alcohol is (3/7) * (7x + 7) liters.
- And the volume of water is (4/7) * (7x + 7) liters.
Step 4: Solving the equation
- We know that the volume of alcohol in the original mixture is 4x liters.
- Setting up the equation: 4x = (3/7) * (7x + 7)
- Solving the equation, we get: 4x = 3x + 3
- Simplifying further, we have: x = 3
Step 5: Finding the quantity of alcohol
- Now, we can substitute the value of x in the equation to find the quantity of alcohol.
- The quantity of alcohol in the original mixture is 4x = 4 * 3 = 12 liters.
Conclusion:
The quantity of alcohol in the mixture is 12 liters.
Community Answer
A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of ...
After adding 7 litres of water, the mixture will contain 12 litres of Alcohol and 16 litres of water. Am i right?
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A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.?
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A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.?.
A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mixture Contain alcohol and water in the ratio 4:3 . if 7 liters of water is added to it, The ratio of alcohol and become 3:4 . find the quantity of alcohol in the mixture.?.
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