Final answer:
215 sections are possible and 9 meters of rope will be left over.
Step-by-step explanation:
To find the number of 27-meter sections that can be made from 5,814 meters of rope, we divide the total length of the rope by the length of each section:
5814 m ÷ 27 m = 215.33 sections
Since we can't have a fraction of a section, we round down to the nearest whole number.
This means that 215 sections are possible.
To find out how much rope will be left over, we subtract the length of the sections from the total length of the rope:
5814 m - (27 m × 215)
= 5814 m - 5805 m
= 9 m
Therefore, there will be 215 sections possible and 9 meters of rope left over.