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Jaime has n comic books. He sells one half of them and then gives one

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Jaime has n comic books. He sells one half of them and then gives one [#permalink]

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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
[Reveal] Spoiler: OA

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Re: Jaime has n comic books. He sells one half of them and then gives one [#permalink]

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Jaime has n comic books.

He sells one half of them -- Jaime now has n/2 comic books left

Then gives one third of the ones he has left to a friend -- Jaime now has 2/3 of the n/2 comic books left = n/3 comic books left

If he has 10 comic books left => n/3 = 10 => n=30

Answer is A

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Re: Jaime has n comic books. He sells one half of them and then gives one [#permalink]

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New post 15 May 2017, 01:07
Let Jamie has n comic books
As per question, we can simplify as follows:

n-\(\frac{n}{2}\)-\(\frac{n}{2}\)*\(\frac{1}{3}\)= 10

n-\(\frac{n}{2}\)-\(\frac{n}{6}\)= 10

\(\frac{6n-3n-n}{6}\)= 10

\(\frac{2n}{6}\)=10=> n=30

Answer: A.

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Jaime has n comic books. He sells one half of them and then gives one [#permalink]

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New post 15 May 2017, 10:21
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Total number of comic books = n.

\(\frac{n}{2}\) sold. Remaining = \(\frac{n}{2}\).

\(\frac{1}{3}\)\((\frac{n}{2})\) given to friend. Remaining = \(\frac{2}{3}(\frac{n}{2})\).

Now,\(\frac{2}{3}(\frac{n}{2}\)) = 10

=> \(\frac{n}{3}\) = 10

=> 30

Ans: A

Last edited by singhabhijeet on 16 Oct 2017, 06:36, edited 1 time in total.

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Re: Jaime has n comic books. He sells one half of them and then gives one [#permalink]

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New post 14 Oct 2017, 09:43
Jaime has n comic books.

He sells one half of them -- Jaime now has n/2 comic books left

Then gives one third of the ones he has left to a friend -- Jaime now has 2/3 of the n/2 comic books left = n/3 comic books left

If he has 10 comic books left => n/3 = 10 => n=30

Answer is A

Kudos [?]: 7 [0], given: 182

Re: Jaime has n comic books. He sells one half of them and then gives one   [#permalink] 14 Oct 2017, 09:43
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Jaime has n comic books. He sells one half of them and then gives one

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