Question

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 xx, the number of 140-kilogram crates that can be loaded into the shipping container.

Answer 1

Let x be the number of 140-kg crates. The total weight must satisfy
140x + 9300 ≤ 24000.

Subtract 9300:
140x ≤ 14700.

Divide by 140:
x ≤ 105.

Since x must be a whole number, at most 105 crates can be loaded.