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Answer :
Final answer:
The weight of a large box is 18.75 kilograms, and the weight of a small box is 15 kilograms.
Explanation:
To solve this problem, we can set up a system of equations. Let's say that the weight of a large box is 'L' kilograms, and the weight of a small box is 'S' kilograms. From the given information, we have the following equations:
7L + 9S = 255
5L + 3S = 135
Now, we can solve this system of equations. Multiplying the second equation by 3, we get 15L + 9S = 405. Subtracting the first equation from the new equation, we get 8L = 150. Therefore, the weight of a large box (L) is 18.75 kilograms, and the weight of a small box (S) is 15 kilograms.
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