a shipping container will be used to transport several 100 - kilogram crates across the country by rail. the…

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 5400 kilograms have already been loaded into the container. write and solve an inequality which can be used to determine x, the number of 100 - kilogram crates that can be loaded into the shipping container.

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 5400 kilograms have already been loaded into the container. write and solve an inequality which can be used to determine x, the number of 100 - kilogram crates that can be loaded into the shipping container.

Answer

Explanation:

Step1: Set up the inequality

The weight of the (x) crates is (100x) kilograms. The total weight (existing shipments + crates) must be less than or equal to the maximum weight. So the inequality is (100x + 5400\leq27500).

Step2: Solve the inequality for (x)

Subtract (5400) from both sides: (100x+5400 - 5400\leq27500 - 5400) (100x\leq22100) Divide both sides by (100): (x\leq\frac{22100}{100}) (x\leq221)

Answer:

The inequality is (100x + 5400\leq27500) and the solution is (x\leq221)