Final answer:
To find the weight of the empty can, we can set up an equation using the weights of the can when it is full and half-filled with sand. However, there seems to be an error in the information provided.
Step-by-step explanation:
To find the weight of the empty can, we need to subtract the weight of the sand from the weight when it is half filled. Let's say the weight of the empty can is x.
When the can is filled completely, it weighs 780 grams. Therefore, the weight of the sand is 780 - x grams.
When the can is half filled, it weighs 590 grams. Therefore, the weight of the sand is 590 - x grams.
Since the weight of the sand is the same in both cases, we can set up an equation:
780 - x = 590 - x
Simplifying the equation, we get:
780 - 590 = x - x
190 = 0
This is not a possible equation, so there must be an error in the information provided. Please check the question again.