Films can be classified into drama and comedy. Every year many films are submitted to screen systems in which some of them will be rejected. The acceptance rate of drama is lower than that of comedy. Although the acceptance rate of domestic films is higher than that of foreign countries, the acceptance rate of drama and comedy in our country is the same as that in foreign countries, respectively.
Which of the following can be concluded from the statement above? (A) The ratio of drama to films in our country is lower than that in foreign countries. (B) Most of films in our country are drama. (C) The ratio of comedy to films in our country is lower than that in foreign countries. (D) Most of films in foreign countries are drama. (E) The submitted films in our country are more than those in foreign countries.
Category: Submitted Accepted D drama: dds A*dds D comedy: dcs B*dcs F drama: fds A*fds F comedy: fcs B*fcs
wherein, A = acceptance rate of drama; B = acceptance rate of comedy.
The acceptance rate of drama is lower than that of comedy A<B
The acceptance rate of domestic films is higher than that of foreign countries. (A*dds + B*dcs)/(dds + dcs) > (A*fds + B*fcs)/(fds + fcs)
Let dcs/(dds+dcs) = R1; and fcs/(fds + fcs) = R2 (the ratio of comedy to films ) then A*(1-R1) + B*R1 > A*(1-R2) + B*R2 R1*(B-A) > R2*(B-A) Since B>A, it must be R1>R2.
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发表于 2011-7-26 12:49:22
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