A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 12400 kilograms have already been loaded into the container. Which inequality can be used to determine xx, the greatest number of 120-kilogram crates that can be loaded onto the shipping container?
Answer
Multiple Choice Answers
27500, is greater than or equal to, 120, x, plus, 1240027500≥120x+12400
27500, is less than or equal to, 120, x, plus, 1240027500≤120x+12400
120, left parenthesis, x, plus, 12400, right parenthesis, is less than or equal to, 27500120(x+12400)≤27500
120, left parenthesis, x, plus, 12400, right parenthesis, is greater than or equal to, 27500120(x+12400)≥27500

The problem involves determining the greatest number of 120-kilogram crates that can be added to a shipping container with a total weight capacity of 27,500 kilograms, considering that 12,400 kilograms have already been loaded into it.

### Step-by-step breakdown:

- Let \( x \) be the number of 120-kilogram crates.
- Each crate adds \( 120x \) kilograms to the load.
- The total weight already in the container is 12,400 kilograms.
- The combined weight of the crates and the already loaded shipment should not exceed 27,500 kilograms.

Thus, the inequality to model this situation is:

\[
120x + 12400 \leq 27500
\]

This inequality represents the total weight of the crates and the already loaded shipment being less than or equal to the container's maximum capacity of 27,500 kg.

### Answer:
The correct inequality is:

\[
27500 \geq 120x + 12400
\]

This corresponds to the second multiple-choice option:

\[
\boxed{27500 \geq 120x + 12400}
\]

Would you like more details on how to solve this inequality or other concepts?

Here are 5 related questions for further practice:
1. How many crates can be loaded if no other shipments are loaded?
2. If the container's capacity were increased by 500 kg, what would be the new inequality?
3. What is the greatest number of crates that can be loaded in the current scenario?
4. How would the inequality change if each crate weighed 150 kg instead of 120 kg?
5. If the already loaded shipment weighed 15,000 kg, how would this impact the solution?

**Tip**: Always subtract the weight of any preloaded items before calculating the weight limit for new items.

A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 12400 kilograms have already been loaded into the container. Which inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container?

Learn how to calculate the maximum number of 120-kilogram crates that can be loaded into a shipping container with a capacity of 27500 kilograms, after 12400 kilograms of other shipments have already been added. This problem covers key algebraic concepts, including the use of inequalities. Suitable for students in Grades 6-8.

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