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 27500 kilograms. Other shipments weighing 10900 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 40-kilogram crates that can be loaded into the shipping container.

To represent the situation as an inequality, we need to account for the maximum weight that can be loaded into the container, which is 27,500 kilograms. However, 10,900 kilograms have already been loaded into the container. So, the weight of the crates we can add must not exceed the remaining capacity, which is:

\[
27,500 - 10,900 = 16,600 \text{ kilograms}.
\]

Each crate weighs 40 kilograms, so if \( c \) represents the number of crates, the total weight of the crates is \( 40c \). The total weight of these crates should be less than or equal to the remaining capacity of the container. This gives the inequality:

\[
40c \leq 16,600.
\]

Now, this inequality represents the maximum number of crates that can be loaded into the container.

Would you like me to solve this inequality or go into further detail?

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Here are 5 related questions for further practice:
1. How many crates can be loaded if the container’s total capacity is 30,000 kilograms?
2. What if the crate weight was reduced to 30 kilograms per crate, how would the inequality change?
3. If the weight of other shipments was increased to 12,000 kilograms, what would be the new inequality?
4. How would the problem change if the weight limit was 26,000 kilograms instead of 27,500?
5. Can you calculate the maximum number of crates if only 5,000 kilograms of other shipments were loaded?

**Tip:** Always subtract existing weight from the total capacity to know the remaining space for new items.

Learn how to solve an inequality problem involving loading crates into a shipping container with weight constraints. This problem covers algebraic concepts, including inequalities and calculations of remaining weight capacity. Suitable for students in Grades 6-8.

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