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Question
A school collected Rs 2304 as fees from its students. If each student paid as many paise as there were students in the school, how many students were there in the school?
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Solution
Let S be the number of students.
Let r be the money donated by each student.
The total contribution can be expressed by (S)(r) = Rs 2304
Since each student paid as many paise as the number of students, then r = S.Substituting this in the first equation, we get:
S x S = 2304
S2 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
S2 = (2 x 2) x (2 x 2) x (2 x 2) x (2 x 2) x (3 x 3)
S = 2 x 2 x 2 x 2 x 3 = 48
So, there are 48 students in total in the school.
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