A fruit company delivers its fruit in two types of boxes large and small a delivery of three large boxes and five box that has a total weight of 71 Kilograms of delivery of six large boxes and two small boxes has a total weight of 92 kilograms how much does each type of weigh

The weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.

Step-by-step explanation:

Given:

A fruit company delivers its fruit in two types of boxes large and small a delivery of three large boxes and five small boxes  that has a total weight of 71 kilograms and a delivery of six large boxes and two small boxes has a total weight of 92 kilograms.

Now, to find the weight of each type of box.

Let the weight of large box be .

And let the weight of small box be

A delivery of three large boxes and five small boxes has a total weight of 71 kilograms:

And, the delivery of six large boxes and two small boxes has a total weight of 92 kilograms:

Now, substituting the value of from equation (2) in equation (1):

Subtracting 230 on both sides we get:

Dividing both sides by -12 we get:

The weight of large box = 13.25 kilograms.

Now, substituting the value of in equation (1) we get:

The weight of small box = 6.25 kilograms.

Therefore, the weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.

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Step-by-step explanation: