Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 7 large boxes and 9 small boxes has a total weight of 192

kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 114 kilograms. How much does each type of box weigh?

Answer 1

Let L be the weight of a large box and S be the weight of a small box. So we can set up two equations:

2L + 3S = 83
4L + 8S = 197

Solve for L or S in one of the equations and substitute it into the other equation and find the other unknown.

2L = 83 - 3S
L = (83 - 3S)/2

4(83 - 3S)/2 + 8S = 197
166 - 6S + 8S = 197
2S = 31
S = 15.5 kg
L = (83 - 3(15.5))/2 = 18.25 kg