If 18 students occupy

3/5of the seats in the classroom, how many students would occupy
2/3 of the seats in the room?

1 answer

To determine how many students would occupy \( \frac{2}{3} \) of the seats in the classroom, we first need to calculate the total number of seats.

Since 18 students occupy \( \frac{3}{5} \) of the seats, we can set up the following equation to find the total number of seats, denoted as \( S \):

\[ \frac{3}{5} S = 18 \]

To find \( S \), we can solve for it by multiplying both sides by \( \frac{5}{3} \):

\[ S = 18 \times \frac{5}{3} = 18 \times \frac{5}{3} = 30 \]

Now that we know the total number of seats in the classroom is 30, we can find how many students would occupy \( \frac{2}{3} \) of the seats.

Calculating \( \frac{2}{3} \) of the total seats:

\[ \frac{2}{3} \times 30 = 20 \]

Therefore, if 20 seats are occupied, the number of students that would occupy \( \frac{2}{3} \) of the seats in the classroom is \( \boxed{20} \).