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A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?
- a)100 litre
- b)80 litre
- c)20 litre
- d)60 litre
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A can contains a mixture of milk and water in the ratio of 4 : 1. When...
Given,
If capacity of can is 5a then milk is 4a and water is a.
If capacity of can is 5a then milk is 4a and water is a.
Given,
After 15 litres mixture drawn off
⇒ Milk amount = 4a – 4/5 × 15 = 4a – 12
⇒ Water amount = a – 1/5 × 15 + 15 = a + 12
After 15 litres mixture drawn off
⇒ Milk amount = 4a – 4/5 × 15 = 4a – 12
⇒ Water amount = a – 1/5 × 15 + 15 = a + 12
Given,
⇒ (4a – 12) : (a + 12) = 17 : 8
⇒ 32a – 96 = 17a + 204
⇒ 15a = 300
⇒ a = 20
∴ Total mixture = 5 × 20 = 100 litre
⇒ (4a – 12) : (a + 12) = 17 : 8
⇒ 32a – 96 = 17a + 204
⇒ 15a = 300
⇒ a = 20
∴ Total mixture = 5 × 20 = 100 litre
Most Upvoted Answer
A can contains a mixture of milk and water in the ratio of 4 : 1. When...
Given information:
- The ratio of milk to water in the can is 4:1.
- When 15 litres of the mixture is drawn off and replaced with water, the ratio becomes 17:8.
Let's solve the problem step by step:
Step 1: Initial mixture
- Let's assume the initial mixture in the can contains 4x litres of milk and x litres of water.
- Therefore, the total quantity of the initial mixture = 4x + x = 5x litres.
Step 2: After drawing off 15 litres
- When 15 litres of the mixture is drawn off, the quantity of milk remaining = 4x - (15/5) = 4x - 3 litres.
- The quantity of water remaining = x - (15/5) = x - 3 litres.
Step 3: After filling with water
- After drawing off 15 litres, the can is filled with water.
- Therefore, the quantity of milk remains the same, i.e., 4x - 3 litres.
- The quantity of water is now x - 3 + 15 = x + 12 litres.
Step 4: New ratio
- The new ratio of milk to water is given as 17:8.
- Therefore, (4x - 3)/(x + 12) = 17/8.
Step 5: Solving the equation
- Cross-multiplying, we get 8(4x - 3) = 17(x + 12).
- Simplifying further, we have 32x - 24 = 17x + 204.
- Combining like terms, we get 15x = 228.
- Dividing both sides by 15, we get x = 15.2.
Step 6: Total mixture the can can hold
- The total quantity of the mixture the can can hold = 5x = 5 * 15.2 = 76 litres.
Therefore, the correct answer is option A) 100 litres.
- The ratio of milk to water in the can is 4:1.
- When 15 litres of the mixture is drawn off and replaced with water, the ratio becomes 17:8.
Let's solve the problem step by step:
Step 1: Initial mixture
- Let's assume the initial mixture in the can contains 4x litres of milk and x litres of water.
- Therefore, the total quantity of the initial mixture = 4x + x = 5x litres.
Step 2: After drawing off 15 litres
- When 15 litres of the mixture is drawn off, the quantity of milk remaining = 4x - (15/5) = 4x - 3 litres.
- The quantity of water remaining = x - (15/5) = x - 3 litres.
Step 3: After filling with water
- After drawing off 15 litres, the can is filled with water.
- Therefore, the quantity of milk remains the same, i.e., 4x - 3 litres.
- The quantity of water is now x - 3 + 15 = x + 12 litres.
Step 4: New ratio
- The new ratio of milk to water is given as 17:8.
- Therefore, (4x - 3)/(x + 12) = 17/8.
Step 5: Solving the equation
- Cross-multiplying, we get 8(4x - 3) = 17(x + 12).
- Simplifying further, we have 32x - 24 = 17x + 204.
- Combining like terms, we get 15x = 228.
- Dividing both sides by 15, we get x = 15.2.
Step 6: Total mixture the can can hold
- The total quantity of the mixture the can can hold = 5x = 5 * 15.2 = 76 litres.
Therefore, the correct answer is option A) 100 litres.
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A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer?
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A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer?.
A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer?.
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A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A can contains a mixture of milk and water in the ratio of 4 : 1. When 15 litres of mixture is drawn off and filled with water, then the ratio becomes 17 : 8. What is the total mixture it can hold?a)100 litreb)80 litrec)20 litred)60 litreCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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