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The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?
- a)12 : 7
- b)2 : 3
- c)4 : 3
- d)8 : 5
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average weight of the students in four sections Red, Black, Green ...
Average weight of students of sections of Red and Black = 48 kg
⇒ (45a + 50b)/(a + b) = 48
⇒ 15a = 10b
Average weight of students of sections of Black and Green = 60 kg
⇒ 50b + 72c = 60(b + c)
⇒ 10b = 12c
Average weight of students of Red, Black, Green and Yellow = 60 kg
45a + 50b + 72c + 80d = 60(a + b + c + d)
⇒ 15a + 10b – 12c – 20d = 0
⇒ 15a = 20d
⇒ a : d = 4 : 3
⇒ (45a + 50b)/(a + b) = 48
⇒ 15a = 10b
Average weight of students of sections of Black and Green = 60 kg
⇒ 50b + 72c = 60(b + c)
⇒ 10b = 12c
Average weight of students of Red, Black, Green and Yellow = 60 kg
45a + 50b + 72c + 80d = 60(a + b + c + d)
⇒ 15a + 10b – 12c – 20d = 0
⇒ 15a = 20d
⇒ a : d = 4 : 3
Most Upvoted Answer
The average weight of the students in four sections Red, Black, Green ...
Average weight of students of sections of Red and Black = 48 kg
⇒ (45a + 50b)/(a + b) = 48
⇒ 15a = 10b
Average weight of students of sections of Black and Green = 60 kg
⇒ 50b + 72c = 60(b + c)
⇒ 10b = 12c
Average weight of students of Red, Black, Green and Yellow = 60 kg
45a + 50b + 72c + 80d = 60(a + b + c + d)
⇒ 15a + 10b – 12c – 20d = 0
⇒ 15a = 20d
⇒ a : d = 4 : 3
⇒ (45a + 50b)/(a + b) = 48
⇒ 15a = 10b
Average weight of students of sections of Black and Green = 60 kg
⇒ 50b + 72c = 60(b + c)
⇒ 10b = 12c
Average weight of students of Red, Black, Green and Yellow = 60 kg
45a + 50b + 72c + 80d = 60(a + b + c + d)
⇒ 15a + 10b – 12c – 20d = 0
⇒ 15a = 20d
⇒ a : d = 4 : 3
Community Answer
The average weight of the students in four sections Red, Black, Green ...
Given information:
- Average weight of students in Red section = 45 kg
- Average weight of students in Black section = 50 kg
- Average weight of students in Green section = 72 kg
- Average weight of students in Yellow section = 80 kg
- Average weight of students in Red and Black sections combined = 48 kg
- Average weight of students in Black and Green sections combined = 60 kg
- Average weight of students in all four sections combined = 60 kg
Let's assume the number of students in the Red section as 'r' and in the Yellow section as 'y'.
- Total weight of students in Red section = 45 * r
- Total weight of students in Black section = 50 * b
- Total weight of students in Green section = 72 * g
- Total weight of students in Yellow section = 80 * y
We know that the average weight of students in Red and Black sections combined is 48 kg, so we can write the equation:
(45 * r + 50 * b) / (r + b) = 48
Simplifying the equation, we get:
45r + 50b = 48(r + b)
45r + 50b = 48r + 48b
2r = 2b
r = b
We also know that the average weight of students in Black and Green sections combined is 60 kg, so we can write the equation:
(50 * b + 72 * g) / (b + g) = 60
Simplifying the equation, we get:
50b + 72g = 60(b + g)
50b + 72g = 60b + 60g
12b = 12g
b = g
Since r = b and b = g, we can conclude that r = b = g.
Now, let's calculate the average weight of students in all four sections combined:
(45 * r + 50 * b + 72 * g + 80 * y) / (r + b + g + y) = 60
Substituting the values of r, b, and g, we get:
(45r + 50r + 72r + 80y) / (3r + y) = 60
(167r + 80y) / (3r + y) = 60
Simplifying the equation, we get:
167r + 80y = 180r + 60y
7r = 20y
Therefore, the ratio of the number of students in Red and Yellow sections is 20:7, which can be simplified to 2:3. Hence, the correct answer is option B) 2:3.
- Average weight of students in Red section = 45 kg
- Average weight of students in Black section = 50 kg
- Average weight of students in Green section = 72 kg
- Average weight of students in Yellow section = 80 kg
- Average weight of students in Red and Black sections combined = 48 kg
- Average weight of students in Black and Green sections combined = 60 kg
- Average weight of students in all four sections combined = 60 kg
Let's assume the number of students in the Red section as 'r' and in the Yellow section as 'y'.
- Total weight of students in Red section = 45 * r
- Total weight of students in Black section = 50 * b
- Total weight of students in Green section = 72 * g
- Total weight of students in Yellow section = 80 * y
We know that the average weight of students in Red and Black sections combined is 48 kg, so we can write the equation:
(45 * r + 50 * b) / (r + b) = 48
Simplifying the equation, we get:
45r + 50b = 48(r + b)
45r + 50b = 48r + 48b
2r = 2b
r = b
We also know that the average weight of students in Black and Green sections combined is 60 kg, so we can write the equation:
(50 * b + 72 * g) / (b + g) = 60
Simplifying the equation, we get:
50b + 72g = 60(b + g)
50b + 72g = 60b + 60g
12b = 12g
b = g
Since r = b and b = g, we can conclude that r = b = g.
Now, let's calculate the average weight of students in all four sections combined:
(45 * r + 50 * b + 72 * g + 80 * y) / (r + b + g + y) = 60
Substituting the values of r, b, and g, we get:
(45r + 50r + 72r + 80y) / (3r + y) = 60
(167r + 80y) / (3r + y) = 60
Simplifying the equation, we get:
167r + 80y = 180r + 60y
7r = 20y
Therefore, the ratio of the number of students in Red and Yellow sections is 20:7, which can be simplified to 2:3. Hence, the correct answer is option B) 2:3.
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The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The average weight of the students in four sections Red, Black, Green and Yellow is 60 kg. The average weight of the students of Red, Black, Green and Yellow individually are 45 kg, 50 kg, 72 kg and 80 kg, respectively. If the average weight of the students of section Red and Black together is 48 kg and that of Black and Green together is 60 kg. What is the ratio of the number of the students in sections Red and Yellow?a)12 : 7b)2: 3c)4: 3d)8 : 5e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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