A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograms. A delivery of 5 large boxes and 2 small boxes has a total weight of 78 kilograms. How much does each type of box weigh?

the large box weight is 6.50 kg and the small box weight is 13 kg

Step-by-step explanation:

The calculation of each type of box weight is shown below:

Let assume the large box be x

And, the small box be y

Therefore

 3x + 8y = 91(i)

5x + 2y = 78(ii)

Multiply by 5 in equation 1 and by 3 in equation 2

15x + 40y = 455

15x + 6y = 234

Now deduct the last equation from the above one

34y = 221

y = 6.5 kg

For x, it is

3x + 8(6.5) = 91

3x + 52 = 91

3x = 91 - 52

3x  = 39

x = 13 kg

Hence, the large box weight is 6.50 kg and the small box weight is 13 kg

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6 purchases

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