An auditorium containing 646 seats was 17/19 filled. How many occupied seats were there?

1 answer

To calculate the number of occupied seats, we need to multiply the total number of seats by the percent that was filled.

The auditorium has 646 seats, and it was 17/19 filled.

To calculate the proportion of seats that were filled, we divide 17 by 19:

17/19 = 0.895

Finally, we multiply this proportion by the total number of seats:

646 * 0.895 = 578.42

Since we cannot have a fraction of a seat, we round down to the nearest whole number.

Therefore, there were 578 occupied seats in the auditorium.