Final answer:
The maximum number of 40-kilogram crates that can be loaded into the shipping container is 285 or fewer, as determined by the inequality 40x + 13100 <= 24500, solved by subtracting 13100 and dividing by 40.
Step-by-step explanation:
To determine the maximum number of 40-kilogram crates that can be loaded into the shipping container, we can set up an inequality. The total weight of the crates loaded, plus the weight of the other shipments, should not exceed the maximum capacity of the container. Let's denote x as the number of 40-kilogram crates.
The inequality can be expressed as:
40x + 13100 ≤ 24500
To solve for x, we first subtract 13100 from both sides of the inequality:
40x ≤ 11400
Next, we divide both sides by 40 to isolate x:
x ≤ 285
Therefore, the number of 40-kilogram crates that can be loaded is 285 or fewer.