Question

A fruit 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?

Answer 1

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.