A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 12400 kilograms have already been loaded into the container. Which inequality can be used to determine xx, the greatest number of 120-kilogram crates that can be load
27500≥120x+12400
27500, is less than or equal to, 120, x, plus, 1240027500≤120x+12400
120, left bracket, x, plus, 12400, right bracket, is less than or equal to, 27500120(x+12400)≤27500
120, left bracket, x, plus, 12400, right bracket, is greater than or equal to, 27500120(x+12400)≥27500
To find the inequality that represents the greatest number of 120-kilogram crates that can be loaded into the container, given that the container's maximum weight capacity is 27,500 kilograms and there are other shipments already loaded weighing 12,400 kilograms, you need to express the combined weight of the existing shipments and the additional crates as being less than or equal to the container's weight capacity.
The weight of the x number of 120-kilogram crates can be represented as 120x. Therefore, the total weight of the already loaded shipments (12,400 kilograms) plus the weight of the crates (120x) should not exceed the maximum capacity of the container (27,500 kilograms). This relationship can be expressed with the following inequality:
27500 ≥ 120x + 12400
Breaking it down:
- 27500 represents the maximum weight capacity of the container.
- 120x represents the total weight of the crates to be added.
- 12400 represents the weight of the other shipments already in the container.
The inequality means that the sum of the weight of the added crates (120x) and the existing shipments (12400) must be less than or equivalent to the container's capacity (27500).
Therefore, the correct inequality to determine x, the greatest number of 120-kilogram crates that can be loaded, is:
27500 ≥ 120x + 12400