Under his cell phone plan, Oliver pays a flat cost of $45 per month and $3 per gigabyte. He wants to keep his bill under $60 per month. write an inequality representing g, the number of gigabytes he can use while staying within his budget.
$45 + $3g ≤ $60
A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25500 kilograms. Other shipments weighing 4800 kilograms have already been loaded into the container. What is the greatest number of 40-kilogram crates that can be loaded into the shipping container?
Let the number of crates to be loaded be x.
Each crate weighs 40 kilograms.
The total weight of all crates to be loaded is 40x kilograms.
The total permissible weight for the crates is 25500 kilograms.
The weight of shipment already loaded in the container is 4800 kilograms.
So, the inequality that needs to be solved is:
40x + 4800 ≤ 25500
Subtracting 4800 from both sides:
40x ≤ 20700
Divide both sides by 40:
x ≤ 517.5
Since the number of crates must be a whole number, the greatest number of 40-kilogram crates that can be loaded into the shipping container is 517.