In a certain school, the number of students in each section was 24. After admitting some students, three new sections have been started and now there are 16 sections with 21 students in each. What is the number of newly admitted students?
Step-by-step Solution:
To find the number of newly admitted students, we need to calculate the total number of students in the school both before and after the admissions, and then find the difference between these two numbers.
- The problem states that after the change, there are now 16 sections with 21 students in each.
- Final Total Students = 16 sections × 21 students/section = 336 students.
- We know that three new sections were started to reach the final number of 16 sections.
- Initial Number of Sections = 16 - 3 = 13 sections.
- Initially, there were 24 students in each of these sections.
- Initial Total Students = 13 sections × 24 students/section = 312 students.
- The number of new students is simply the difference between the final and initial totals.
- Newly Admitted Students = (Final Total Students) - (Initial Total Students)
- Newly Admitted Students = 336 - 312 = 24.
Final Answer: The number of newly admitted students is 24.