In round $1$ of “Pop the Balloon”, popping each balloon fetched $2$ points. There were $10$ balloons in total. If Benji, Alex, and Susan scored $6,8,$ and $10$ points, respectively, then how many balloons did each one of them pop?

The correct option is A $\text{Benji - 3, Alex - 4, Susan - 5}$
Let’s assume:
Number of balloons popped by Benji $=B$
Number of balloons popped by Susan $=S$
Number of balloons popped by Alex $=A$

According to the question: Points for popping $1$ balloon $=2$
Total points scored by Benji $=6$
Total points scored by Alex $=8$
Total points scored by Susan $=10$

Total points scored $=$ Points for popping $1$ balloon
Number of balloons popped

Total points scored by Benji $=2\times B$
$6=2\times B$
$2\times 3=2\times B$
On comparing, we get $B=3$.

Total points scored by Alex $=2\times A$
$8=2\times A$
$2\times 4=2\times A$
On comparing, we get $A=4$.

Total points scored by Susan $=2\times B$
$10=2\times B$
$2\times 5=2\times B$
On comparing, we get $S=5$.

Thus, Benji, Alex, and Susan popped $3,4,$ and $5$ balloons, respectively.