During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remaining

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Thu Jul 09, 2020 7:46 pm

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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

OA D

Source: Princeton Review

Source: Beat The GMAT — Problem Solving | Thu Jul 09, 2020 7:46 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

Re: During a certain two-week period, 70 percent of the movies rented from a video store were comedies, and of the remai

by Jay@ManhattanReview » Thu Jul 09, 2020 8:05 pm

BTGmoderatorDC wrote: ↑
Thu Jul 09, 2020 7:46 pm
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

OA D

Source: Princeton Review

Say the total no. of videos rented = x;

Thus, no. of comedy videos = 70% of x = 0.7x;

We have to get the value of 0.7A.

Remaining videos = x – 0.7x = 0.3x

=> A + 5A = 0.3x

x = 6A/0.3

=> 0.7x = (6A/0.3)*0.7 = 4.2A/0.3 = 14A

Correct answer: D

Hope this helps!

-Jay
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