we have one painting can, when it's 1/2 full it weighs 5kg and when it's 1/3 full it weighs 4kg how much does an empty can weigh?
Let P be the total weight of paint when the can is full.......and let C be the weight of the can....and we have this system of equations
(1/2)P + C = 5
(1/3)P + C = 4 subtract the second equation from the first
(1/6)P = 1kg → P = 6kg and this is the total weight of the paint when the can is full
So.....using the first equation
(1/2)(6) + C = 5
3 + C = 5
And C= 2kg = the weight of the can