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In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?
- a)25
- b)26
- c)27
- d)28
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a class of 100 students, the average weight is 30 kg. If the averag...
By alligation,
So the number of girls will be =( 1/(1+3))*100 = 25
So the number of girls will be =( 1/(1+3))*100 = 25
Most Upvoted Answer
In a class of 100 students, the average weight is 30 kg. If the averag...
Given information:
- Total number of students = 100
- Average weight of all students = 30 kg
- Average weight of girls = 24 kg
- Average weight of boys = 32 kg
Let's assume the number of girls in the class as 'x'.
Since the average weight of all students is 30 kg, we can calculate the total weight of all students as follows:
Total weight = Average weight * Total number of students
Total weight = 30 kg * 100 students
Total weight = 3000 kg
We can also calculate the total weight of girls and boys separately using their average weights:
Total weight of girls = Average weight of girls * Number of girls
Total weight of girls = 24 kg * x
Total weight of boys = Average weight of boys * Number of boys
Total weight of boys = 32 kg * (100 - x)
(Note: Total number of students = Number of girls + Number of boys)
Since the total weight of all students is the sum of the total weight of girls and boys, we can write the equation as follows:
Total weight = Total weight of girls + Total weight of boys
3000 kg = 24 kg * x + 32 kg * (100 - x)
Simplifying the equation:
3000 kg = 24x kg + 3200 kg - 32x kg
3000 kg - 3200 kg = -8x kg
-200 kg = -8x kg
Dividing both sides of the equation by -8:
200 kg / 8 = x kg
25 kg = x kg
Therefore, the number of girls in the class is 25.
Hence, the correct answer is option A) 25.
- Total number of students = 100
- Average weight of all students = 30 kg
- Average weight of girls = 24 kg
- Average weight of boys = 32 kg
Let's assume the number of girls in the class as 'x'.
Since the average weight of all students is 30 kg, we can calculate the total weight of all students as follows:
Total weight = Average weight * Total number of students
Total weight = 30 kg * 100 students
Total weight = 3000 kg
We can also calculate the total weight of girls and boys separately using their average weights:
Total weight of girls = Average weight of girls * Number of girls
Total weight of girls = 24 kg * x
Total weight of boys = Average weight of boys * Number of boys
Total weight of boys = 32 kg * (100 - x)
(Note: Total number of students = Number of girls + Number of boys)
Since the total weight of all students is the sum of the total weight of girls and boys, we can write the equation as follows:
Total weight = Total weight of girls + Total weight of boys
3000 kg = 24 kg * x + 32 kg * (100 - x)
Simplifying the equation:
3000 kg = 24x kg + 3200 kg - 32x kg
3000 kg - 3200 kg = -8x kg
-200 kg = -8x kg
Dividing both sides of the equation by -8:
200 kg / 8 = x kg
25 kg = x kg
Therefore, the number of girls in the class is 25.
Hence, the correct answer is option A) 25.
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In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?a)25b)26c)27d)28Correct answer is option 'A'. Can you explain this answer?
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In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?a)25b)26c)27d)28Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?a)25b)26c)27d)28Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 100 students, the average weight is 30 kg. If the average weight of the girls is 24 kg and that of the boys is 32 kg, then what is the number of girls in the class?a)25b)26c)27d)28Correct answer is option 'A'. Can you explain this answer?.
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