Question

Sophia planned on distributing 5 candies each to 20 of her classmates on her birthday, upon arrival to class she discovered 5 more of her classmates present than she had anticipated. If each of the classmates should get equal number of candies, then each will get

candies.

Answer 1

Sophia initially decided on distributing $5$ candies each to $20$ of her classmates.
Here, the number of candies Sophia brought $=5\times 20=100$.
The number of candies each person will get is inverse proportion to the number of students.
$\therefore$ Let $y$ be the number of candies and $x$
be the number of classmates $\Rightarrow x\times y=100$
Now, if 5 more classmates join $\Rightarrow$ number of classmates $=25$.
Now, $y\times 25=100\Rightarrow y=4$.
$\therefore$ Every classmate will now get 4 candies each.