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?
To find out how many students would occupy `2/3` of the seats in the classroom, we need to first calculate how many total seats are in the classroom.
Let's denote the total number of seats in the classroom as T.
Given that 18 students occupy `3/5` of the seats, we can set up the following proportion:
18 students / T seats = `3/5`
Cross multiply to solve for T:
18 * 5 = `3T`
90 = `3T`
T = 30
Therefore, there are a total of 30 seats in the classroom.
Now, to find out how many students would occupy `2/3` of the seats, we can set up the proportion:
Number of students / Total seats = `2/3`
Let's denote the number of students that would occupy `2/3` of the seats as S.
S / 30 = `2/3`
Cross multiply to solve for S:
S = 30 * `2/3`
S = 20
Therefore, 20 students would occupy `2/3` of the seats in the classroom.