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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

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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

by BTGmoderatorDC » Fri Sep 11, 2020 3:44 pm

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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
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Re: 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

by swerve » Sat Sep 12, 2020 2:34 pm
BTGmoderatorDC wrote: ↑
Fri Sep 11, 2020 3:44 pm
 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 \(\Rightarrow \dfrac{n}{3} = 10 \Rightarrow n=30\)
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