Answer:
Each small chandelier weighs 7 kilograms and each large chandelier weighs 28 kilograms.
Explanation:
Let's denote the weight of a small chandelier by "s" and the weight of a large chandelier by "L". We can then create a system of equations based on the information provided:
From the first box:
4s + 1L = 56
From the second box:
4s + 5L = 168
We can use these equations to solve for "s" and "L".
First, we can multiply the first equation by 5 to eliminate "L" and create a new equation:
20s + 5L = 280
Then, we can subtract the second equation from this equation to eliminate "s":
20s + 5L - (4s + 5L) = 280 - 168
16s = 112
Finally, we can solve for "s":
s = 7
Now we can substitute this value back into one of the original equations to solve for "L". Let's use the first equation:
4s + 1L = 56
4(7) + 1L = 56
28 + L = 56
L = 28
Therefore, each small chandelier weighs 7 kilograms and each large chandelier weighs 28 kilograms.