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In the Kan film festival, 50 movies were presented. 3/5 of the movies

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Bunuel
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In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink] New post   05 Sep 2019, 04:13
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In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies if all the movies on the festival are either action movies, science fiction movies or both?

A. 10.
B. 15.
C. 20.
D. 30.
E. 35.
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C
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Re: In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink] New post   05 Sep 2019, 06:59
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Bunuel wrote:
In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?

A. 10.
B. 15.
C. 20.
D. 30.
E. 35.



---AM--NAM---total
SF--20--20-----40
NSF--10--0------10
total--30--20----50
IMO C ; 20
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Re: In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink] New post   06 Sep 2019, 04:15
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I don't think the question is complete. It neither asked for minimum number of SF action movies not mentioned that there are 0 SF non-action movies.

Bunuel, am I missing something here.

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Re: In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink] New post   06 Sep 2019, 04:21
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Harsh9676 wrote:
I don't think the question is complete. It neither asked for minimum number of SF action movies not mentioned that there are 0 SF non-action movies.

Bunuel, am I missing something here.

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Re: In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink] New post   08 Sep 2019, 03:53
Bunuel wrote:
In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies if all the movies on the festival are either action movies, science fiction movies or both?

A. 10.
B. 15.
C. 20.
D. 30.
E. 35.


Given:
1. In the Kan film festival, 50 movies were presented.
2. 3/5 of the movies are action movies
3. 4/5 is science fiction movies.

Asked: How many of the movies were science fiction action movies if all the movies on the festival are either action movies, science fiction movies or both?

--------------SF-----------NSF---------------Total
AM-----------20------------10----------------30
NAM----------20------------0-----------------20
Total----------40-----------10----------------50

20 movies were science fiction action movies

IMO C
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Re: In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink] New post   20 Feb 2021, 07:07
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Total: Action + Science fiction - Both

=> \(50 = \frac{3}{5} * 50 + \frac{4}{5} * 50\) - Both

=> 50 = 30 + 40 - Both

=> Both = 70 - 50 = 20

Answer C
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Re: In the Kan film festival, 50 movies were presented. 3/5 of the movies [#permalink]
20 Feb 2021, 07:07
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