Answer:
The weight of container C is 2.1kg.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the weight of container A.
y is the weight of container B.
z is the weight of container C.
The average weight of 3 containers A,B and C is 3.2kg.
This means that the total weight is 3*3.2 = 9.6kg. So
[tex]x + y + z = 9.6[/tex]
Container A is twice as heavy as container B.
This means that [tex]x = 2y[/tex].
Containers B is 400 g heavier than container C.
400g is 0.4kg. So
This means that [tex]y = z + 0.4[/tex], or [tex]z = y - 0.4[/tex]
Replacing y and z as functions of x in the first equation:
[tex]x + y + z = 9.6[/tex]
[tex]2y + y + y - 0.4 = 9.6[/tex]
[tex]4y = 10[/tex]
[tex]y = \frac{10}{4} = 2.5[/tex]
Container C
[tex]z = y - 0.4 = 2.5 - 0.4 = 2.1[/tex]
The weight of container C is 2.1kg.
