Question

A fruit company sells two types of boxes large and small. A delivery of two large boxes and three small boxes has a total weight of 47 kilograms. A delivery of six large boxes in 5 small boxes has a total weight of 115 kg. How much does each type of box weigh?

Answer 1

the large box weight is 6.50 kg and the small box weight is 13.75 kg

Explanation:

The computation of each type of box weight is as follows:

Let us assume the large box be x

And, the small box be y

So,

2x + 3y = 47.......(i)

6x + 5y = 115........(ii)

Multiply by 3 in equation 1

6x + 9y = 141

6x + 5y = 115

Now subtract the last equation from the above one

4y = 26

y = 6.50

For x, it would be

2x+ 3(6.50) = 47

2x + 19.5 = 47

2x = 47 - 19.50

2x = 27.50

x = 13.75

Hence, the large box weight is 6.50 kg and the small box weight is 13.75 kg