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After eating half of the chocolate mini bars in a can

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actleader
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After eating half of the chocolate mini bars in a can [#permalink] New post   Updated on: 30 Oct 2012, 23:14
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After eating half of the chocolate mini bars in a can, Clayton gave one fourth of the remaining mini bar chocolates to his buddy and realized that he only had 6 chocolate mini bars left. How many mini bar chocolates did he originally have?

(A) 2
(B) 4
(C) 8
(D) 16
(E) 18
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D

Originally posted by actleader on 30 Oct 2012, 22:53.
Last edited by Bunuel on 30 Oct 2012, 23:14, edited 1 time in total.
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Re: After eating half of the chocolate mini bars in a can [#permalink] New post   30 Oct 2012, 23:19
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actleader wrote:
After eating half of the chocolate mini bars in a can, Clayton gave one fourth of the remaining mini bar chocolates to his buddy and realized that he only had 6 chocolate mini bars left. How many mini bar chocolates did he originally have?

(A) 2
(B) 4
(C) 8
(D) 16
(E) 18


Say Clayton originally had \(x\) bars. He ate half, thus he was left with \(\frac{x}{2}\) bars. Then, he gave \(\frac{x}{8}\) bars (one fourth of the remaining) to his friend.

Given that \(\frac{x}{2}-\frac{x}{8}=6\) --> \(x=16\).

Answer: D.

Hope it's clear.
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Re: After eating half of the chocolate mini bars in a can [#permalink] New post   31 Oct 2012, 12:34
Bunuel wrote:
actleader wrote:

Given that \(\frac{x}{2}-\frac{x}{8}=6\) --> \(x=16\).

Answer: D.

Hope it's clear.


Just great, I was told lengthy solution :-D
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Re: After eating half of the chocolate mini bars in a can [#permalink] New post   14 Aug 2019, 17:47
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actleader wrote:
After eating half of the chocolate mini bars in a can, Clayton gave one fourth of the remaining mini bar chocolates to his buddy and realized that he only had 6 chocolate mini bars left. How many mini bar chocolates did he originally have?

(A) 2
(B) 4
(C) 8
(D) 16
(E) 18



We can let x = the number of chocolate mini bars Clayton has originally and create the equation:

x - x/2 - (x/2)/4 = 6

x - x/2 - x/8 = 6

8x - 4x - x = 48

3x = 48

x = 16

Answer: D
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Re: After eating half of the chocolate mini bars in a can [#permalink]
14 Aug 2019, 17:47
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