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60 percent of movie theatres in Town X have 3 screens or l

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60 percent of movie theatres in Town X have 3 screens or l [#permalink] New post 15 Feb 2013, 12:25
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60% (01:22) correct 40% (01:18) wrong based on 2 sessions
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?

A. 12
B. 18
C. 32
D. 40
E. 44
[Reveal] Spoiler: OA

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Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink] New post 15 Feb 2013, 21:44
Lets take numbers here.
Assume that the total number of movie theaters in the town = 100

Then number of movie theaters with 3 screens or less = 60
=> Number of movie theaters with 4 screens or more = 40
Movie theaters with 3 screens or less selling popcorn at more than $300 = 20% of 60 = 12

Number of movie theaters selling popcorn at $300 or less = 56
=> Number of movie theaters selling popcorn at more than $300 = 100-56 = 44

Of these 44 theaters, 12 are those with 3 screens or less
Therefore 32 (44-12) must be those with four screens or more

C is the answer
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Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink] New post 15 Feb 2013, 22:29
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emmak wrote:
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?

A. 12
B. 18
C. 32
D. 40
E. 44


Answer is C. Data given are in black and data inferred are in red.
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Re: 60 percent of movie theatres in Town X have 3 screens or l   [#permalink] 15 Feb 2013, 22:29
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