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 find out how many students occupy 2/3 of the seats in the classroom, we first need to determine the total number of seats in the classroom based on the information that 18 students occupy 3/5 of the seats.

Let's denote the total number of seats in the classroom as \( S \). According to the problem:

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

To find \( S \), we can solve the equation:

  1. Multiply both sides of the equation by \( \frac{5}{3} \):

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

  1. Calculate \( 18 \times \frac{5}{3} \):

\[ S = 18 \times \frac{5}{3} = 6 \times 5 = 30 \]

Now we know that there are 30 seats in total in the classroom.

Next, we need to determine how many students would occupy \( \frac{2}{3} \) of the seats:

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

Calculating this gives:

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

So, the number of students that would occupy \( \frac{2}{3} \) of the seats in the room is:

\[ \boxed{20} \]