Question

Scarlett was giving treats to her friend for her excellent results in the maths exam. Each one of her friends received toffees as many as the number of friends. If Scarlett distributed $625$ toffees, find the number of friends she has.

• A. $35$
• B. $15$
• C. $25$
• D. Cannot be determined.

Answer 1

The correct option is C $25$

Let Scarlett has $m$ number of friends.
$\therefore$ Each of her friends received $m$ number of toffees.

Hence, the total number of toffees $=m\times m$

It is given that total number of distributed toffees $=625$

$\Rightarrow m\times m=625$
$\Rightarrow m^2=625$
$\Rightarrow m^2=5\times 5\times 5\times 5$
$\Rightarrow m^2=5^4\Rightarrow m=\sqrt{5^4}=5^2=25$

$\therefore$ She has $25$ friends.