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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