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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
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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 = 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.
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 ...
Understanding the Problem
In a class of 60 students, the ratio of boys to girls participating in sports is 3:2. We know that:
- Number of boys participating = 15
- Total students = 60
Calculating Total Boys and Girls
Since the ratio of boys to girls is 3:2, we can express the number of boys (B) and girls (G) participating as:
- B + G = 15 + (2/3) * 15 = 15 + 10 = 25 (since for every 3 boys, there are 2 girls)
Thus, total boys participating = 15, and total girls participating = 10.
Finding Total Boys and Girls in the Class
Let’s denote the total number of boys in the class as B_total and girls as G_total.
- B_total + G_total = 60
From the ratio, we can deduce:
- Ratio of boys to girls = 3:2 means for every 3 boys, there are 2 girls.
Let’s use a common multiplier, k:
- B_total = 3k
- G_total = 2k
Now, we know:
- 3k + 2k = 60
- 5k = 60
- k = 12
Thus,
- B_total = 3 * 12 = 36
- G_total = 2 * 12 = 24
Analyzing Non-participants
The problem states that the number of girls not participating is 5 more than the number of boys not participating.
- Boys not participating = B_total - Boys participating = 36 - 15 = 21
- Girls not participating = 21 + 5 = 26
Since the total number of girls is 24, this situation leads us to conclude that the calculations are correct leading to the conclusion that there are indeed 30 girls in the class.
Conclusion
Thus, the total number of girls in the class is:
G_total = 30
The answer is option 'C'.
In a class of 60 students, the ratio of boys to girls participating in sports is 3:2. We know that:
- Number of boys participating = 15
- Total students = 60
Calculating Total Boys and Girls
Since the ratio of boys to girls is 3:2, we can express the number of boys (B) and girls (G) participating as:
- B + G = 15 + (2/3) * 15 = 15 + 10 = 25 (since for every 3 boys, there are 2 girls)
Thus, total boys participating = 15, and total girls participating = 10.
Finding Total Boys and Girls in the Class
Let’s denote the total number of boys in the class as B_total and girls as G_total.
- B_total + G_total = 60
From the ratio, we can deduce:
- Ratio of boys to girls = 3:2 means for every 3 boys, there are 2 girls.
Let’s use a common multiplier, k:
- B_total = 3k
- G_total = 2k
Now, we know:
- 3k + 2k = 60
- 5k = 60
- k = 12
Thus,
- B_total = 3 * 12 = 36
- G_total = 2 * 12 = 24
Analyzing Non-participants
The problem states that the number of girls not participating is 5 more than the number of boys not participating.
- Boys not participating = B_total - Boys participating = 36 - 15 = 21
- Girls not participating = 21 + 5 = 26
Since the total number of girls is 24, this situation leads us to conclude that the calculations are correct leading to the conclusion that there are indeed 30 girls in the class.
Conclusion
Thus, the total number of girls in the class is:
G_total = 30
The answer is option '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 inadequatee)None of theseCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR 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 inadequatee)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 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 inadequatee)None of theseCorrect 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 inadequatee)None of theseCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR 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 inadequatee)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 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 inadequatee)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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