Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 42 films, and broke even on none of them, how many of their films were profitable?	Choose one.
A) 18
B) 19
C) 20
D) 21
E) 41
After fiddling some more, this is how I got to answer choice 41...but did I get here using voodoo math or is it sound?   (.60*.75) + (.40*.25) = .44 + .10 = .55   55/100 = 11/20   Then subtract from 42:   42 - 11/20 = 41 (answer 41)
<result>E</result>
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 42 films, and broke even on none of them, how many of their films were profitable?