Afruit company delivers its fruit in two types of boxes: large and small. a delivery of 12 large boxes and 2 small boxes has a total weight of 253 kilograms. a delivery of 3 large boxes and 5 small boxes has a total weight of 133 kilograms. how much does each type of box weigh?

Let x represent the weight of a large box, and y represent the weight of a small box. The problem statement gives rise to two equations in these unknowns:
.. 12x +2y = 253
.. 3x +5y = 133

A graph shows these equations have solution
.. x = 18.5
.. y = 15.5

A large box weighs 18.5 kg.
A small box weighs 15.5 kg.