484 toffees were distributed equally among children in such a way that the number of toffees received by each child is 25% of the total number of children. How many toffees did each child receive?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 11
The toffees each child gets depend on the number of children, so that number is found first. If there are \(n\) children, each gets 25% of \(n\), that is, \(\frac{n}{4}\) toffees.
Total toffees: \(\displaystyle n\times\frac{n}{4}=\frac{n^2}{4}=484\)
\(n^2=1936\), so \(n=44\) children
Each child gets \(\displaystyle \frac{44}{4}=11\) toffees