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?
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.
