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In a school number of students in each section is 36.If 12 new students are added, then the number of sections are increased by 4 and the number of students in each section becomes 30. The original number of section at first is
a)6
b)10
c)14
d)18?
Most Upvoted Answer
In a school number of students in each section is 36.If 12 new student...
Understanding the Problem
To find the original number of sections in the school, we can set up the problem step by step based on the information given.
Given Data
- Original number of students in each section: 36
- New students added: 12
- Increase in the number of sections: 4
- New number of students in each section: 30
Let’s Define Variables
- Let "x" be the original number of sections.
- Therefore, the original total number of students: 36 * x
Setting Up Equations
1. After adding 12 students, the total number of students becomes:
- Total students = 36x + 12
2. The new number of sections after the increase is:
- New sections = x + 4
3. With the new number of students per section being 30, we can express this as:
- Total students = 30 * (x + 4)
Equating the Total Students
Now, we can set up the equation:
36x + 12 = 30(x + 4)
Solving the Equation
1. Distributing the right side:
- 36x + 12 = 30x + 120
2. Rearranging gives:
- 36x - 30x = 120 - 12
- 6x = 108
3. Dividing by 6:
- x = 18
Conclusion
The original number of sections in the school is 18 (option d).
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In a school number of students in each section is 36.If 12 new students are added, then the number of sections are increased by 4 and the number of students in each section becomes 30. The original number of section at first isa)6b)10c)14d)18?
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In a school number of students in each section is 36.If 12 new students are added, then the number of sections are increased by 4 and the number of students in each section becomes 30. The original number of section at first isa)6b)10c)14d)18? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In a school number of students in each section is 36.If 12 new students are added, then the number of sections are increased by 4 and the number of students in each section becomes 30. The original number of section at first isa)6b)10c)14d)18? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school number of students in each section is 36.If 12 new students are added, then the number of sections are increased by 4 and the number of students in each section becomes 30. The original number of section at first isa)6b)10c)14d)18?.
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