Jaime has n comic books. He sells one half of them and then gives one third of the ones he has left to a friend. If he

[BTGmoderatorDC]

Jaime has n comic books. He sells one half of them and then gives one third of the ones he has left to a friend. If he has 10 comic books left, how many did he have originally?

A. 30
B. 40
C. 60
D. 80
E. 90


OA A

Source: Princeton Review

[swerve]

Jaime has n comic books. He sells one half of them and then gives one third of the ones he has left to a friend. If he has 10 comic books left, how many did he have originally?

A. 30
B. 40
C. 60
D. 80
E. 90


OA A

Source: Princeton Review

Jaime has \(n\) comic books.

He sells one half of them, so Jaime now has \(\dfrac{n}{2}\) comic books left

Then gives one third of the ones he has left to a friend, so Jaime now has \(\dfrac{2}{3}\) of the \(\dfrac{n}{2}\) comic books left \(= \dfrac{n}{3}\) comic books left

If he has \(10\) comic books left \(\Rightarrow \dfrac{n}{3} = 10 \Rightarrow n=30\)