A trailer will be used to transport several 40 kilogram crates to a store. the greatest amount of weight that can be loaded onto the trailer is 1,050 kilograms. An 82 kilogram crate has already been loaded onto the trailer. what is the greatest number of 40 kilogram crates that can be loaded onto the trailer

82+crates is less than or equal to 1050

crates=40 times number of crates (c)

82+40c≤1050

minus 82 both sides

40c≤968

divide both sides by 40

c≤24.2

round down since we can't put 0.2 crates on

24 crates is max number we can add

Ok say that x is the greatest number of 40 kg crates that can be loaded to the transport.

then 40x+82 must be at most 1050 kg because its the weight that the transport can handle

so that means algebraically

40x+82< = 1050

solve this inequality

40x+82-82< = 1050-82

40x<=968

40x/40 < = 968/40

x< = 24.2

so the greatest amount of 40 kg crates you can add is 24 crates