A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 5400 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 100-kilogram crates that can be loaded into the shipping container.

Let's define the inequality step-by-step.

### Given:
- The maximum weight the container can hold is 27,500 kilograms.
- A shipment weighing 5,400 kilograms is already in the container.
- Each crate weighs 100 kilograms.
- Let \( x \) represent the number of 100-kilogram crates that can be added to the container.

### To formulate the inequality:
The total weight of the crates plus the already loaded weight should not exceed the container's maximum weight. Therefore, the inequality is:

\[
5400 + 100x \leq 27500
\]

### Solving the inequality:

1. Subtract 5,400 from both sides:

\[
100x \leq 27500 - 5400
\]

\[
100x \leq 22100
\]

2. Divide both sides by 100:

\[
x \leq \frac{22100}{100}
\]

\[
x \leq 221
\]

### Solution:
The number of 100-kilogram crates that can be loaded into the container is at most **221**.

Let me know if you'd like more details or further clarification.

Here are five related questions to expand on this problem:
1. What if the shipment already loaded was 7,000 kilograms instead of 5,400?
2. How would the inequality change if each crate weighed 120 kilograms instead?
3. What is the total weight if 150 crates are loaded?
4. How many crates can be loaded if the maximum weight is increased to 30,000 kilograms?
5. What is the minimum number of crates that could be loaded if the shipment weighs 6,500 kilograms?

**Tip**: Always isolate the variable term by simplifying the inequality step-by-step, just as you would for an equation!

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 5400 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 100-kilogram crates that can be loaded into the shipping container.

Discover how to solve an inequality problem involving the loading of 100-kilogram crates into a shipping container. With a total capacity of 27,500 kilograms and 5,400 kilograms already loaded, learn how to determine the maximum number of crates that can still be added. Perfect for students in Grades 6-8 learning algebra and inequalities.

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