Question

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 40 films, and broke even on none of them, how many of their films were profitable?

Answer 1

Answer: There are 22.5 films were profitable.

Explanation:

Since we have given that

Number of total films = 40

Percentage of comedies = 60%

Number of comedies is given by

`0.6* 40\\\\=24`

Percentage of horror films = 40%

Number of horror films is given by

`0.4* 40\\\\=16`

Percentage of comedies were profitable = 75%

Number of profitable comedies is given by

`0.75* 24=18`

Percentage of horror were unprofitable = 75%

Percentage of horror were profitable = 25%

Number of profitable horror films is given by

`0.25* 18\\\\=4.5`

So, Total number of profitable films were

`18+4.5=22.5`

Hence, there are 22.5 films were profitable.