Question

In a fifth grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. Of the students who like to go to action movies, 4/5 of hem also like comedies. What fraction of the students in class like to go to action movies? What fraction of the students like to go to action and comedies?

Answer 1

Answer: 1) 1/2 students like to go to action movies,

2) 2/5 students like to go to action and comedies.

Step-by-step explanation:

Let the total number of students are x,

Thus, the number of students who like to go movies = 3/4 of total students = $\frac{3x}{4}$

The number of students who like to go action movies = 2/3 of students who like to go movies = 2/3 of 3x/4 = $\frac{6x}{12}$ = x/2

Hence, the total fraction of students who like to go action movies = Number of students who like to go action movies / Total students

= $\frac{x/2}{x}$

= 1/2

Now, the number of student who like to go comedy movie = 4/5 of the students who like to go action movies

= 4/5 of x/2

= $\frac{4x}{10}$

= $\frac{2x}{5}$

Hence, the fraction of students who like to go comedy movies

=  Total students who like comedies/ Total students

= $\frac{2x/5}{x}$

= 2/5

Answer 2

Hi, thank you for posting your question here at Brainly.

The process of solving this problem is as follows:

Students who like action movies: 3/4*2/3 = 1/2 of the fifth grade class students
Students who like comedies: 1/2*4/5 = 2/5 of the fifth grade class students