Let's start by defining the variables and the given information:

- The maximum weight the container can hold is 24500 kilograms.
- The weight of other shipments already loaded is 14600 kilograms.
- Each crate weighs 60 kilograms.
- Let $ x $ be the number of 60-kilogram crates that can be loaded into the container.

We need to write an inequality to determine the maximum number of crates that can be added without exceeding the container's weight limit.

First, we calculate the total weight of the crates that will be added:
$$ 60x $$

Next, we add this to the weight of the other shipments already in the container:
$$ 14600 + 60x $$

This total weight must be less than or equal to the maximum weight the container can hold:
$$ 14600 + 60x \leq 24500 $$

Now, we solve the inequality for $ x $:

1. Subtract 14600 from both sides:
$$ 60x \leq 24500 - 14600 $$

2. Simplify the right side:
$$ 60x \leq 9900 $$

3. Divide both sides by 60:
$$ x \leq \frac{9900}{60} $$

4. Simplify the division:
$$ x \leq 165 $$

Therefore, the inequality that determines the number of 60-kilogram crates that can be loaded into the shipping container is:
$$ 14600 + 60x \leq 24500 $$

And the solution to the inequality is:
$$ x \leq 165 $$

This means that up to 165 crates can be loaded into the container.

Question

Let's start by defining the variables and the given information:

- The maximum weight the container can hold is 24500 kilograms.
- The weight of other shipments already loaded is 14600 kilograms.
- Each crate weighs 60 kilograms.
- Let $ x $ be the number of 60-kilogram crates that can be loaded into the container.

We need to write an inequality to determine the maximum number of crates that can be added without exceeding the container's weight limit.

First, we calculate the total weight of the crates that will be added:
$$ 60x $$

Next, we add this to the weight of the other shipments already in the container:
$$ 14600 + 60x $$

This total weight must be less than or equal to the maximum weight the container can hold:
$$ 14600 + 60x \leq 24500 $$

Now, we solve the inequality for $ x $:

1. Subtract 14600 from both sides:
$$ 60x \leq 24500 - 14600 $$

2. Simplify the right side:
$$ 60x \leq 9900 $$

3. Divide both sides by 60:
$$ x \leq \frac{9900}{60} $$

4. Simplify the division:
$$ x \leq 165 $$

Therefore, the inequality that determines the number of 60-kilogram crates that can be loaded into the shipping container is:
$$ 14600 + 60x \leq 24500 $$

And the solution to the inequality is:
$$ x \leq 165 $$

This means that up to 165 crates can be loaded into the container.

Knowee AI · Accepted Answer