Question

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 7100 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x x, the number of 100-kilogram crates that can be loaded into the shipping container.

Answer 1

To find the maximum number of 100-kilogram crates (x) that can be loaded into the shipping container with a limit of 27500 kilograms and an existing load of 7100 kilograms, we set up the inequality 7100 + 100x ≤ 27500. After simplifying, we find that x ≤ 204, so at most 204 crates can be added.

Step-by-step explanation:

The question involves determining the maximum number of 100-kilogram crates (denoted as x) that can be added to the shipping container, given that the greatest weight the container can hold is 27500 kilograms, and there is already another shipment weighing 7100 kilograms inside.

We can express this situation with an inequality as follows:

7100 + 100x ≤ 27500

To solve this inequality, we subtract 7100 from both sides:

100x ≤ 27500 - 7100

100x ≤ 20400

Now, we divide both sides by 100 to solve for x:

x ≤ 204

Thus, the number of 100-kilogram crates that can still be loaded into the shipping container is at most 204.