A shipping container will be used to transport several 140-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 9300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x*x*, the number of 140-kilogram crates that can be loaded into the shipping container.

To determine the maximum number of 140-kilogram crates that can be loaded into the shipping container without exceeding the weight limit, we need to set up and solve an inequality.

### Step 1: Understand the weight constraints.
- The maximum weight that the container can hold is 24,000 kilograms.
- Other shipments weighing 9,300 kilograms have already been loaded.
- Each crate weighs 140 kilograms.

### Step 2: Set up the inequality.
Let \( x \) represent the number of 140-kilogram crates that can be loaded.

The total weight of the crates will be \( 140x \). The total weight in the container, including the crates and the other shipments, will be:
\[
9300 + 140x
\]
We want this total weight to be less than or equal to 24,000 kilograms:
\[
9300 + 140x \leq 24000
\]

### Step 3: Solve the inequality.
First, subtract 9,300 from both sides:
\[
140x \leq 24000 - 9300
\]
Simplify:
\[
140x \leq 14700
\]
Now, divide both sides by 140:
\[
x \leq \frac{14700}{140}
\]
\[
x \leq 105
\]

### Conclusion:
The number of 140-kilogram crates that can be loaded into the container is **105 or fewer**.

Would you like more details on this?

Here are 5 related questions:

1. What happens if the other shipments weigh 10,000 kilograms instead?
2. How would the inequality change if the container's weight limit increases?
3. What if each crate weighed 150 kilograms instead of 140 kilograms?
4. Can you calculate how much weight remains after loading 100 crates?
5. How would the solution change if additional shipments were added after the crates?

**Tip:** Always double-check your calculations, especially when working with constraints like weight limits!

Learn how to calculate the maximum number of 140-kilogram crates that can be loaded into a shipping container without exceeding weight limits. This problem involves setting up and solving an inequality based on container weight constraints and crate weights. Suitable for students in Grades 7-9.

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