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In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?
- a)18 and 19
- b)13 and 27
- c)16 and 15
- d)15 and 13
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a school, the average weight of boys in a class is 30 kg and the av...
Answer – B. 13 and 27 Explanation : 20…………………….30
…………23.25…………..
6.75…………………….3.25
Total number of boys and Total number of girls = 13 and 27
…………23.25…………..
6.75…………………….3.25
Total number of boys and Total number of girls = 13 and 27
Most Upvoted Answer
In a school, the average weight of boys in a class is 30 kg and the av...
To solve this problem, let's assume the number of boys in the class is 'b' and the number of girls is 'g'. We are given the following information:
Average weight of boys = 30 kg
Average weight of girls = 20 kg
Average weight of the whole class = 23.25 kg
We can use these averages to form equations:
Total weight of boys = Average weight of boys * Number of boys = 30b
Total weight of girls = Average weight of girls * Number of girls = 20g
Total weight of the whole class = Average weight of the whole class * Total number of students
Therefore, we have the equation:
Total weight of the whole class = 23.25 * (b + g)
Since the total weight of the whole class is the sum of the weights of boys and girls, we can equate the two equations:
30b + 20g = 23.25 * (b + g)
Simplifying this equation, we get:
30b + 20g = 23.25b + 23.25g
6.75b = 3.25g
b/g = 3.25/6.75
b/g = 13/27
This means that the ratio of boys to girls in the class is 13:27.
Now, let's look at the answer choices:
a) 18 and 19: This ratio is not equal to 13:27, so it is not a possible solution.
b) 13 and 27: This ratio is equal to 13:27, so it is a possible solution.
c) 16 and 15: This ratio is not equal to 13:27, so it is not a possible solution.
d) 15 and 13: This ratio is not equal to 13:27, so it is not a possible solution.
e) None of these: The correct answer is option 'B', which is 13 and 27.
Therefore, the possible strength of boys and girls in the class could be 13 and 27, respectively.
Average weight of boys = 30 kg
Average weight of girls = 20 kg
Average weight of the whole class = 23.25 kg
We can use these averages to form equations:
Total weight of boys = Average weight of boys * Number of boys = 30b
Total weight of girls = Average weight of girls * Number of girls = 20g
Total weight of the whole class = Average weight of the whole class * Total number of students
Therefore, we have the equation:
Total weight of the whole class = 23.25 * (b + g)
Since the total weight of the whole class is the sum of the weights of boys and girls, we can equate the two equations:
30b + 20g = 23.25 * (b + g)
Simplifying this equation, we get:
30b + 20g = 23.25b + 23.25g
6.75b = 3.25g
b/g = 3.25/6.75
b/g = 13/27
This means that the ratio of boys to girls in the class is 13:27.
Now, let's look at the answer choices:
a) 18 and 19: This ratio is not equal to 13:27, so it is not a possible solution.
b) 13 and 27: This ratio is equal to 13:27, so it is a possible solution.
c) 16 and 15: This ratio is not equal to 13:27, so it is not a possible solution.
d) 15 and 13: This ratio is not equal to 13:27, so it is not a possible solution.
e) None of these: The correct answer is option 'B', which is 13 and 27.
Therefore, the possible strength of boys and girls in the class could be 13 and 27, respectively.
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In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)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 In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)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 In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)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 In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)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 In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?a)18 and 19b)13 and 27c)16 and 15d)15 and 13e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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