Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 4 large boxes and 8 small boxes has a total weight of 169 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 71 kilograms. How much does each type of box weigh?

Answer 1

weight of large box=15.250 kgm

wight of box=13.500 kgm.

Explanation:

let weight of large box=x kgm

and weight of small box=y kgm.

4x+8y=169

2x+3y=71

multiply by 2

4x+6y=142

subtract from first

2y=27

y=27/2=13.500 kgm

4x+8(27/2)=169

4x+108=169

4x=169-108

4x=61

x=61/4=15.250 kgm