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 197 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 83 kilograms. How much does each type of box weigh?

Answer 1

Answer:

let the weight of a large box be x

let the weight of a small box be y

B.T.P

4x+8y=197...(1)

2x+3y=83...(2)

In equation (2),

2x+3y=83

or,2x=83-3y

or,x=(83-3y)/2

putting value of x from equation (2) in equation (1),

4x+8y=197

or,4{(83-3y)/2}+8y=197

or, y=15.5

therefore,

x=(83-3y)/2=18.25

y=15.5