Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.
Step-by-step explanation:
Given: Total seats = 3100
Seats vacant= 1395
Seats occupied by 6th graders = 3100-1395 = 1705
The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]
[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]
Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.