Question

4. In a fifth-grade class, å of the students like to go to the movies. Of the students who like to go to the movies, of them like action movies. Of the students who like to go to action movies, of them also like comedies. Part A What fraction of the students in the class like to go to action movies? of the students Part B What fraction of the students in the class like to go to action movies and comedies? Explain how you found your answer. of the students

Answer 1

Let the total number of the students = x

3/4 of the students like to go to the movies.

so, it will be = 3/4 x

Of the students who like to go to the movies, 2/3 of them like action movies.

so, the number of the students who like action movies =

`(2)/(3)\cdot(3)/(4)x=(2)/(4)x=(1)/(2)x`

Of the students who like to go to action movies, 4/5 of them also like comedies.

so, the number of the students who like comedies =

`(4)/(5)\cdot(1)/(2)x=(2)/(5)x`

Part A:

What fraction of the students in the class like to go to action movies?

So, the answer will be: 1/2 of the students

Part B:

What fraction of the students in the class like to go to action movies and comedies?

So, the answer will be: 2/5 of the students

We found the fraction by multiplying the fractions together