A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 160 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 74 kilograms. How much does each type of box weigh?

Small Box = 13.75 kg

Large Box = 15.5 kg

Step-by-step explanation:

x=wt of small box y = large box

First delivery

6x + 5y = 160 solve for y = 32 - (6/5x)

Second Delivery

3y + 2x = 74 Substitute for y

3 (32 - (6/5x)) + 2x = 74 and solve for x

96 - (18/5x) + 2x = 74

x = 13.75

x = 13.75 = small box kg y = 32 - (6/5x) = large box = 15.5 kg