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In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:
- a)54
- b)48
- c)22
- d)30
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In class X of a school, there are three sections namely A, B, and C. T...
According to question,
A : B = 3 : 4 and B : C = 8 : 9
Now we will find A : B : C
A : B = 3 : 4 ……… (a)
B : C = 8 : 9………..(b)
Multiply equation (a) with 8 and equation (b) with 4, we get-
A : B = 24 : 32 ……………(c)
B : C = 32 : 36 …………….(d)
From (c) and (d), we get-
A : B : C = 24 : 32 : 36 ……….(e)
Total number of students (A + B + C) = 184
From equation (e),
A + B + C = 92
Total no. of students in section A = 
Most Upvoted Answer
In class X of a school, there are three sections namely A, B, and C. T...
Understanding the Problem
In class X, we have three sections: A, B, and C. We know the following:
- The ratio of students in sections A and B is 3:4.
- The ratio of students in sections B and C is 8:9.
- The total number of students in the class is 184.
Setting Up the Ratios
Let's denote the number of students in sections A, B, and C as follows:
- A = 3x (from the ratio of A and B)
- B = 4x (derived from the A:B ratio)
Since B also relates to C, we can express C in terms of B:
- B = 8y (from the ratio of B and C)
- C = 9y (derived from the B:C ratio)
Finding a Common Variable
We need to equate the two expressions for B:
4x = 8y
From this, we can express y in terms of x:
y = x/2
Now substitute y back into the expressions for B and C:
- B = 8(x/2) = 4x
- C = 9(x/2) = 4.5x
Calculating Total Students
Now, we can sum up the students in all sections:
A + B + C = 3x + 4x + 4.5x = 11.5x
Set this equal to the total number of students:
11.5x = 184
To find x:
x = 184 / 11.5 = 16
Now, we can find the number of students in each section:
- A = 3x = 3 * 16 = 48
- B = 4x = 4 * 16 = 64
- C = 4.5x = 4.5 * 16 = 72
Conclusion
The number of students in section A is 48. Thus, the correct answer is option 'B'.
In class X, we have three sections: A, B, and C. We know the following:
- The ratio of students in sections A and B is 3:4.
- The ratio of students in sections B and C is 8:9.
- The total number of students in the class is 184.
Setting Up the Ratios
Let's denote the number of students in sections A, B, and C as follows:
- A = 3x (from the ratio of A and B)
- B = 4x (derived from the A:B ratio)
Since B also relates to C, we can express C in terms of B:
- B = 8y (from the ratio of B and C)
- C = 9y (derived from the B:C ratio)
Finding a Common Variable
We need to equate the two expressions for B:
4x = 8y
From this, we can express y in terms of x:
y = x/2
Now substitute y back into the expressions for B and C:
- B = 8(x/2) = 4x
- C = 9(x/2) = 4.5x
Calculating Total Students
Now, we can sum up the students in all sections:
A + B + C = 3x + 4x + 4.5x = 11.5x
Set this equal to the total number of students:
11.5x = 184
To find x:
x = 184 / 11.5 = 16
Now, we can find the number of students in each section:
- A = 3x = 3 * 16 = 48
- B = 4x = 4 * 16 = 64
- C = 4.5x = 4.5 * 16 = 72
Conclusion
The number of students in section A is 48. Thus, the correct answer is option 'B'.
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In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer?
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In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer?.
In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer?.
Solutions for In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In class X of a school, there are three sections namely A, B, and C. The ratio of students in sections A and B is 3 : 4 and that in sections B and C is 8 : 9. If the total number of students in the class is 184, then the number of students in section A is:a)54b)48c)22d)30Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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