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The problem asks you to write and solve an inequality to determine the maximum number of 40-kilogram crates, denoted by \(x\), that can be loaded into a shipping container.

### Problem Breakdown:

- **Total Weight Capacity**: The maximum weight the container can hold is **24,500 kg**.
- **Already Loaded Weight**: The shipment already has **13,100 kg** loaded.
- **Weight per Crate**: Each crate weighs **40 kg**.

### Step-by-step Solution:

1. Let \( x \) represent the number of crates that can still be loaded.
2. The weight of \( x \) crates is \( 40x \) kg.
3. The total weight already in the container is 13,100 kg.
4. The sum of the weight of the crates and the already loaded weight must not exceed the maximum capacity of the container, 24,500 kg.

This gives the inequality:

\[
40x + 13,100 \leq 24,500
\]

### Solving the Inequality:

1. Subtract 13,100 from both sides:

\[
40x \leq 24,500 - 13,100
\]

\[
40x \leq 11,400
\]

2. Divide both sides by 40 to solve for \(x\):

\[
x \leq \frac{11,400}{40}
\]

\[
x \leq 285
\]

Thus, the maximum number of crates that can be loaded into the container is **285**.

### Conclusion:
The correct solution to the inequality is \(x \leq 285\), meaning the number of 40 kg crates that can be loaded is at most **285 crates**.

Let me know if you want any further explanation or clarification!

Here are 5 related questions for practice:

1. What if the already loaded weight was 12,000 kg? How many crates could be added?
2. If each crate weighed 50 kg instead of 40 kg, how many crates could be loaded?
3. What would the inequality look like if the container could hold 30,000 kg instead?
4. How would the solution change if the loaded weight was halved?
5. If you could only load 250 crates, what would be the total weight?

**Tip**: When dealing with inequalities, always remember to flip the inequality sign when multiplying or dividing by a negative number.

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24500 kilograms. Other shipments weighing 13100 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 40-kilogram crates that can be loaded into the shipping container.

Solve an inequality to determine the number of 40-kilogram crates that can be loaded into a shipping container with a maximum weight of 24,500 kg. Learn how to break down the problem and apply the inequality formula: 40x + 13100 ≤ 24500.

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