Question

A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 11600 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 50-kilogram crates that can be loaded into the shipping container.

Answer 1

The greatest weight that can be loaded into the container is 24000 kilograms.

Let y be the weight of the container

`y\le24000`

Already loaded 11600 Kg in the container.

`y\le24000-11600`

`y\le12400`

It can be loaded with several 50kg crates.

`50x\le y`

The equation to find the x number of 50 kg crates is

`50x\le12400`

`x\le(12400)/(50)`

`x\le248`

Hence the number of 50-