Question

The total mass of a container and 3 similar cans is 680g .when there are 9 such cans in the container, the total mass becomes 1370g. What is the mass of the empty container?

Answer 1

Answer:

335

Step-by-step explanation:

container+3 cans=680g

container+9 cans=1370g

6 cans=1370-680

=690g

1 can=690/6

=115g

3 can=3×115

=345

mass of container=680-345

335g

Answer 2

Answer:

mass of empty container = 335g

Step-by-step explanation:

Let the mass of Container be x & mass of similar cans be y.

Therefore,

mass of container + mass of 3 cans = 680g

x + 3y = 680 ----------- (i)

again,

mass of container + mass of 9 cans = 1370g

x + 9y = 1370 --------------(ii)

multiplying eqn (i) with 3 we get,

3x + 9y = 3*680

3x + 9y = 2040 ------------(iii)

now, eqn (iii) - eqn (ii);

(3x - x) + (9y - 9y) = 2040 - 1370

2x = 670

x = 335 g