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 24000 kilograms. Other shipments weighing 12800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 100-kilogram crates that can be loaded into the shipping container.

Answer 1

Answer:

$12800 + 100x \le 24000$

A maximum of 112 number of 100 - kilograms can be loaded in the container.

Step-by-step explanation:

Given that:

Weight of each crate = 100 kg

The greatest weight that can be loaded in the container = 24000 kg

Weight already loaded in the container = 12800 kg

To find:

The inequality to determine the value $x$ i.e. number of 100 - kilograms that can be loaded in the shipping container?

Solution:

Weight already loaded = 12800 kg

Let the number of 100 - kilograms that can be loaded in the container = $x$

Weight of $x$ = 100$x$ kg

This combined weight nor be greater than the capacity of the container.

OR we can say, it must be lesser than or equal to greatest weight that can be loaded into the container.

$12800 + 100x \le 24000$

$100x \le 24000 - 12800\\\Rightarrow 100x \le 11200\\\Rightarrow x \le 112$

i.e. a maximum of 112 number of 100 - kilograms can be loaded in the container.