An auditorium containing 646 seats was 17/19 filled. How many occupied seats were there?
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.
To find out how many occupied seats there were, we need to calculate 17/19 of the total number of seats in the auditorium.
First, we need to find the value of 17/19 as a decimal. We can do this by dividing 17 by 19:
17 ÷ 19 = 0.8947
Next, we multiply the decimal value 0.8947 by the total number of seats in the auditorium, which is 646:
0.8947 × 646 = 577.1962
Since we can't have a fraction of a seat, we round the decimal value to the nearest whole number:
Rounding 577.1962 to the nearest whole number gives us 577.
Therefore, there were 577 occupied seats in the auditorium.
To find out the number of occupied seats in the auditorium, we need to calculate 17/19 (fraction) of the total number of seats.
So, to get the answer, follow these steps:
Step 1: Calculate 17/19 * 646
Step 2: Divide 17 by 19: 17 ÷ 19 = 0.8947 (rounded to four decimal places)
Step 3: Multiply the result from step 2 by 646: 0.8947 * 646 = 578.9612 (rounded to four decimal places)
Therefore, approximately 579 seats were occupied in the auditorium.