Question

The average weight of 3 containers A,B and C is 3.2kg. Container A is twice as heavy as container B. Containers B is 400 g heavier than container C. Find the weight of container C.

Answer 1

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

$x + y + z = 9.6$

Container A is twice as heavy as container B.

This means that $x = 2y$.

Containers B is 400 g heavier than container C.

400g is 0.4kg. So

This means that $y = z + 0.4$, or $z = y - 0.4$

Replacing y and z as functions of x in the first equation:

$x + y + z = 9.6$

$2y + y + y - 0.4 = 9.6$

$4y = 10$

$y = \frac{10}{4} = 2.5$

Container C

$z = y - 0.4 = 2.5 - 0.4 = 2.1$

The weight of container C is 2.1kg.