Answer:
The correct option is A.
Step-by-step explanation:
It is given that Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.
Total number of favorite movies is
[tex]8+6+5+1=20[/tex]
Therefore Colton has 20 movies in the list of favorite movies.
For every 5 movies on the list, there are 2 movies of required category.
[tex]\frac{2}{5}\times \frac{4}{4}=\frac{8}{20}[/tex]
For every 20 movies on the list, there are 8 movies of required category.
Out of 20 movies we have 8 comedy movies, therefore the required category is comedy movie.
The ratio of comedy movie and total movies is
[tex]\frac{8}{20}=\frac{2}{5}[/tex]
Therefore we can say that for every 5 movies on the list, there are 2 comedy movies. Option A is correct.
