The mass of a container is 5.81kg when its completely filled with sugar. Its mass is 3.8kg when 3/8 of the sugae is removed. What is the mass of the contsiner when it is empty?
To find the mass of the container when it is empty, we need to calculate the mass of the removed sugar first.
Given that the mass of the container when completely filled with sugar is 5.81kg, and the mass is 3.8kg when 3/8 of the sugar is removed.
Let's assume the mass of the removed sugar is x kg.
Therefore, the mass of the remaining sugar is 5.81kg - x kg.
According to the given information, the mass of the remaining sugar is 3/8 of the total sugar mass.
So, we can write the equation:
(3/8) * (5.81kg) = 3.8kg + x kg
Now we can solve for x (mass of the removed sugar):
3/8 * 5.81kg = 3.8kg + x kg
(3/8) * 5.81kg - 3.8kg = x kg
1.1025kg - 3.8kg = x kg
-2.6975kg = x kg
Therefore, the mass of the removed sugar is -2.6975kg.
Since we're dealing with mass, it cannot be negative. Therefore, it indicates that there might be an error in the given values or problem statement.