Discussion
The number of students in each section of a school is 24. After admitting new students, three new sections were started. Now, the total number of sections is 16 and there are 21 students in each section. The number of new students admitted is:
Answer: B
The number of new students admitted is 24.
Three new sections were added to make 16, so there were 13 sections before the admissions.
\[ \begin{aligned} \text{before} &= 13 \times 24 = 312 \\ \text{after} &= 16 \times 21 = 336 \\ \text{new} &= 336 - 312 = 24 \end{aligned} \]
The trap is to take 16 sections of 24 as the starting point, which gives 384 students before and a fall rather than a rise. 48 would be two full sections of 24, and 114 and 14 do not come from the given figures. The extra sections exist because the 336 students are now spread more thinly, 21 to a section.
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