Final answer:
After subtracting the weight of already loaded shipments from the maximum weight of the shipping container, we divide the remaining capacity by the weight of one crate to find the greatest number of crates that can be loaded, rounding down to the nearest whole number, which is 100 crates.
Step-by-step explanation:
The student's question involves calculating the greatest number of 140-kilogram crates that can be loaded into a shipping container after other shipments weighing 13900 kilograms have already been loaded, given a maximum container weight of 28000 kilograms. First, we need to find the remaining weight capacity of the container by subtracting the weight of the already loaded shipments from the maximum weight. The remaining weight capacity is:
28000 kg (maximum weight) - 13900 kg (loaded shipments) = 14100 kg
Next, we divide the remaining weight capacity by the weight of one crate to find out how many whole crates can be loaded:
14100 kg / 140 kg per crate = 100.714
Since we cannot load a fraction of a crate, we must round down to the nearest whole number. Therefore, the greatest number of 140-kilogram crates that can be added to the container is 100 crates.