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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]

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New post 15 Feb 2013, 12:25
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73% (01:36) correct 27% (01:57) wrong based on 237 sessions

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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

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Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink]

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New post 15 Feb 2013, 21:44
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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]

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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]

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New post 07 Jan 2016, 01:56
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


Assume the total theaters to be 100x (We assume this to avoid unitary method or decimals)

Given:
60x have 3 screens or less
Hence, 40x have 4 screens or more

20% of 60x sell more than $300 popcorn = 12x theaters.
56% of all sell less than $300 popcorn = 56x theaters. Hence 44x sell more than $300 popcorn.

Required: Percentage of theaters with 4 or more screens and more than $300 popcorn sale?
Of the 44x theaters that sell more than $300 popcorn, 12 have 3 screens of less
Total theaters with 4 or more screens and ore than $300 sale = 32x

Percentage = 32x/100x * 100 = 32%
Option C
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Re: 60 percent of movie theatres in Town X have 3 screens or l [#permalink]

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New post 25 Mar 2017, 22:13
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


Setting the number of movie theatres as 100:

60 have 3 screens or less. 40 have 4 screens or more.

20% of the theatres that have 3 screens or less sell an average of more than $300 worth of popcorn per showing: 12. So 48 of the theatres that have 3 screens or less sell an average of $300 or less worth of popcorn per showing.

56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing: 56

Number of movie theatres in Town X that have 4 or more screens and sell more than $300 worth of popcorn per showing: 40-8=32.
Re: 60 percent of movie theatres in Town X have 3 screens or l   [#permalink] 25 Mar 2017, 22:13
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