A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 4 large boxes and 8 small boxes had a total weight of 181 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 77 kilograms. How much does each type of box weigh ?

Step-by-step explanation:

We can use l and s to represent the weights of large and small boxes, respectively. Then the given relations are ...

  4l +8s = 181

  2l +3s = 77

Subtracting twice the second equation from the first gives ...

  (4l +8s) -2(2l +3s) = (181) -2(77)

  2s = 27

  s = 13.5

Using this in the first equation, we have ...

  4l +8(13.5) = 181

  4l = 73

  l = 18.25

A large box weighs 18.25 kg; a small box weighs 13.5 kg.