A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 114 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 192 kilograms. How much does each type of box weigh?

18.25 kg

Step-by-step explanation:

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