Question

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 24500 kilograms. Other shipments weighing 8300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine, the number of 120-kilogram crates that can be loaded into the shipping container.

Answer 1

Explanation:

Let C be the number of 120-kilogram crates that can be loaded into the shipping container. We can write the inequality as follows:

120C + 8300 ≤ 24500

To solve this inequality, we can start by subtracting 8300 from both sides to obtain:

120C ≤ 16200

Then, we can divide both sides by 120 to obtain:

C ≤ 135

Thus, the number of 120-kilogram crates that can be loaded into the shipping container is less than or equal to 135. Rounded down to the nearest whole number, the maximum number of crates that can be loaded into the container is 135 crates.