605 sweets are distributed equally among children in such a way that the number of sweets received by each child is 20% of the total number of children. how many sweets did each child receive ?

Correct Answer: 11
Let the total number of children be x
Then,
⇔ x × (20% of x) = 605
⇔ $$\frac{1}{5}$$x2 = 605
⇔ x2 = 3025
⇔ x = 55
∴ Number of sweets received by cash child
= 20% of 55 = 11