when acontainer is 1/4 filled with water it weighs 2.5kg. when it is completely filled with waterr it weighs 3.7kg.What is the weight of the empty container?
c + w/4 = 2.5 ... multiplying by 4 ... 4c + w = 10.
c + w = 3.7
solve the system for c (and w)
subtracting equations (to eliminate w) ... 3c = 6.3
To find the weight of the empty container, we need to determine the weight of the water first and then subtract it from the weight of the completely filled container.
We know that when the container is 1/4 filled with water, it weighs 2.5 kg. Let's denote the weight of the water as W.
So, 1/4 of the container is filled with water, which means that W = 2.5 kg.
Next, we also know that when the container is completely filled with water, it weighs 3.7 kg. Denoting the weight of the container as C, we can write the following equation:
C + W = 3.7 kg
Substituting the value of W from the previous equation, we get:
C + 2.5 kg = 3.7 kg
Subtracting 2.5 kg from both sides of the equation:
C = 3.7 kg - 2.5 kg
C = 1.2 kg
Therefore, the weight of the empty container is 1.2 kg.