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Answer:
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
<u><em>A delivery of three large boxes and five small boxes has a total weight of 71 kilograms:</em></u>
<u><em>And, the delivery of six large boxes and two small boxes has a total weight of 92 kilograms:</em></u>
Now, substituting the value of from equation (2) in equation (1):
<em>Subtracting 230 on both sides we get:</em>
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<em>Dividing both sides by -12 we get:</em>
<u>The weight of large box = 13.25 kilograms.</u>
Now, substituting the value of in equation (1) we get:
<u>The weight of small box = 6.25 kilograms.</u>
Therefore, the weight of large box is 13.25 kilograms and the weight of small box is 6.25 kilograms.