SOLUTION: a movie theater showed 3 kinds of movies in a month. Comedies were half, of the remaining movies; two-thirds were dramas and 20 thrillers. how many movies were shown that month?

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Question 355154: a movie theater showed 3 kinds of movies in a month. Comedies were half, of the remaining movies; two-thirds were dramas and 20 thrillers. how many movies were shown that month?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
HI,
Let x be the total movies shown that month
.
question states
x/2 were comedies
.
Of the "remaining" half
Dramas+=%282%2F3%29%28x%2F2%29 and 20 were thrillers
.
%28x%2F2%29=+%282%2F3%29%28x%2F2%29+%2B+20
.
simplify and solve
%28x%2F2%29=+%28x%2F3%29+%2B+20
.
multiplying thru with 6
+3x+=+%282x%29+%2B+120
x = 120
.
check your answer
60 comedies + 40 Dramas + 20 thrillers = 120 movies that month