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In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?
- a)20
- b)25
- c)30
- d)Data inadequate
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a class of 60 students, the number of boys and girls participating ...
Let the number of boys and girls participating in sports be 3x and 2x respectively.
Then, 3x = 15 or x = 5.
So, number of girls participating in sports = 2x = 2 × 5 = 10.
Number of students not participating in sports = 60 – (15 + 10) = 35.
Let number of boys not participating in sports be y.
Then, number of girls not participating in sports = (35 – y).
Therefore (35 – y) = y + 5 ⇒ 2y = 30 ⇒ y = 15.
So, number of girls not participating in sports = (35 – 15) = 20.
Hence, total number of girls in the class = (10 + 20) = 30.
Then, 3x = 15 or x = 5.
So, number of girls participating in sports = 2x = 2 × 5 = 10.
Number of students not participating in sports = 60 – (15 + 10) = 35.
Let number of boys not participating in sports be y.
Then, number of girls not participating in sports = (35 – y).
Therefore (35 – y) = y + 5 ⇒ 2y = 30 ⇒ y = 15.
So, number of girls not participating in sports = (35 – 15) = 20.
Hence, total number of girls in the class = (10 + 20) = 30.
Most Upvoted Answer
In a class of 60 students, the number of boys and girls participating ...
Given Information:
- Total students in the class = 60
- Ratio of boys to girls participating in sports = 3:2
- Number of girls not participating in sports = Number of boys not participating in sports + 5
- Number of boys participating in sports = 15
To Find: Number of girls in the class
Solution:
- Let the number of boys be 3x and the number of girls be 2x (as the ratio of boys to girls participating in sports is 3:2)
- Total number of students participating in sports = 3x + 2x = 5x (As the total number of students is 60, the number of students not participating in sports is 60 - 5x)
- Given that the number of boys participating in sports is 15, so 3x = 15, which means x = 5
- Therefore, the number of boys in the class = 3x = 3*5 = 15 and the number of girls in the class = 2x = 2*5 = 10
- Number of girls not participating in sports = Number of boys not participating in sports + 5
= (60 - 5x)/2 + 5 (As the total number of students not participating in sports is 60 - 5x and half of them are girls)
= (60 - 5*5)/2 + 5
= 10
- Therefore, the total number of girls in the class = Number of girls participating in sports + Number of girls not participating in sports
= 10 + 10
= 20
Therefore, there are 20 girls in the class. Hence, the correct option is (c).
- Total students in the class = 60
- Ratio of boys to girls participating in sports = 3:2
- Number of girls not participating in sports = Number of boys not participating in sports + 5
- Number of boys participating in sports = 15
To Find: Number of girls in the class
Solution:
- Let the number of boys be 3x and the number of girls be 2x (as the ratio of boys to girls participating in sports is 3:2)
- Total number of students participating in sports = 3x + 2x = 5x (As the total number of students is 60, the number of students not participating in sports is 60 - 5x)
- Given that the number of boys participating in sports is 15, so 3x = 15, which means x = 5
- Therefore, the number of boys in the class = 3x = 3*5 = 15 and the number of girls in the class = 2x = 2*5 = 10
- Number of girls not participating in sports = Number of boys not participating in sports + 5
= (60 - 5x)/2 + 5 (As the total number of students not participating in sports is 60 - 5x and half of them are girls)
= (60 - 5*5)/2 + 5
= 10
- Therefore, the total number of girls in the class = Number of girls participating in sports + Number of girls not participating in sports
= 10 + 10
= 20
Therefore, there are 20 girls in the class. Hence, the correct option is (c).
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In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?
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In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?.
In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?a)20b)25c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?.
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