If 18 students occupy `3/5`of the seats in the classroom, how many students would occupy `2/3` of the seats in the room? solve and tell me the correct answer

Answer 1

To find out how many students would occupy `2/3` of the seats in the classroom, we can set up a proportion based on the information given.

Let x be the total number of students that would occupy `2/3` of the seats in the classroom.

`3/5` of the seats are occupied by 18 students, so we can set up the proportion:

18 (students) = (3/5) * x

To solve for x, we first need to find the total number of seats in the classroom. Since `3/5` of the seats are occupied by 18 students, `2/5` of the seats are unoccupied. Therefore, we can set up another proportion to find the total number of seats:

18 students = `3/5` * Total number of seats

Total number of seats = 18 / `3/5` = 30

Now that we know there are 30 total seats, we can find how many students occupy `2/3` of the seats:

x = (2/3) * 30
x = 20

Therefore, 20 students would occupy `2/3` of the seats in the classroom.