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Answer :
Large box weight: 24 kg, Small box weight: 15.75 kg.
To determine the weight of each type of box, we can set up a system of linear equations based on the given information.
Let L represent the weight of a large box and S represent the weight of a small box.
From the first delivery:
3L + 5S = 135
From the second delivery:
9L + 7S = 279
We can use these equations to solve for L and S. First, isolate L in the first equation:
3L = 135 - 5S
L = 45 - (5/3)S
Substitute the value of L into the second equation:
9(45 - (5/3)S) + 7S = 279
Expand and solve for S:
405 - 15S + 7S = 279
-8S = -126
S = 15.75 kg
Now that we know the weight of a small box, we can substitute this value back into the equation for L:
L = 45 - (5/3)(15.75)
L = 45 - 26.25
L = 18.75 kg
Thus, the weight of a large box is 18.75 kg,
and the weight of a small box is 15.75 kg.
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