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# During a certain two-week period, 70 percent of the movies rented from

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Joined: 05 Nov 2011
Posts: 15
Location: France, Metropolitan
During a certain two-week period, 70 percent of the movies rented from  [#permalink]

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Updated on: 20 Feb 2015, 02:51
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Question Stats:

88% (02:08) correct 12% (02:46) wrong based on 112 sessions

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During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?

A. A/14
B. 5A/7
C. 7A/5
D. 14A
E. 35A

Originally posted by Stardust Chris on 20 Feb 2015, 02:43.
Last edited by Bunuel on 20 Feb 2015, 02:51, edited 1 time in total.
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Joined: 02 Sep 2009
Posts: 64174
Re: During a certain two-week period, 70 percent of the movies rented from  [#permalink]

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20 Feb 2015, 02:55
1
Stardust Chris wrote:
During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?

A. A/14
B. 5A/7
C. 7A/5
D. 14A
E. 35A

Total movies = 100.
Comedies = 70.

Action + Drama = 30. Since there were 5 times as many dramas as action movies, then Action + 5*Action = 30 --> Action = A = 5.

Comedies = 70 = 14A.

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Joined: 18 Jan 2010
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Re: During a certain two-week period, 70 percent of the movies rented from  [#permalink]

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22 Jun 2016, 00:32
Stardust Chris wrote:
During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?

A. A/14
B. 5A/7
C. 7A/5
D. 14A
E. 35A

Movies: 70 % comedies. 30 % remaining genre.

Now in this 30 %, there are only 2 categories. Action movies and Drama Movies.
If Action = x; Drama movies = 5x. Total 6x.
6x = 30; x = 5

Action movies: 5 %
Drama movies: 25 %
we can say that out of 100z,:

comedies: 70z
action: 5z
drama: 25 z

Now action movies were "A"

This means:

A = 5z.

z = (A/5)

Comedies: 70z = 70 * (A/5)

14 A

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Joined: 06 Nov 2014
Posts: 1861
Re: During a certain two-week period, 70 percent of the movies rented from  [#permalink]

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22 Jun 2016, 01:15
Stardust Chris wrote:
During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?

A. A/14
B. 5A/7
C. 7A/5
D. 14A
E. 35A

Assume the total movies = 100x
Comedy = 70x

Remaining = 30x
Drama = 25x, Action = 5x = A
x = A/5

Comedy movies in terms of A = 70*A/5 = 14A

Correct Option: D
Re: During a certain two-week period, 70 percent of the movies rented from   [#permalink] 22 Jun 2016, 01:15