Question

*3.
The mass of a container with 18 identical magnets is 360 g.
When 8 of the magnets are removed, the mass of the container with
the magnets is 264 g.
What is the mass of each magnet?

Answer 1

Answer:

12g

Step-by-step explanation:

Let mass of 1 magnet be x and mass of container be y.

18x+y = 360g

After removing 8 magnets,

10x+y = 264g

Now subtracting these 2 equations

(18x+y)-(10x+y) = 360-264

18x+y-10x-y = 96

8x = 96g

x = 12g

Therefore, mass of 1 magnet = x = 12g

Answer 2

Answer:

The mass of the each magnet is 12g

Step-by-step explanation:

• The given question is solved by the direct relationship between the quantities. As the magnets are decreased, the mass also decreases.

• The mass of the container with 18 identical magnets=360g
• The mass of the container when 8 magnets are removed=264g
• The mass of the 8 magnets removed=360-264=96g
• The mass of the one magnet is given by

      $M=\frac{96}{8}\\M=12g$

Conclusion:

The mass of the each magnet is 12g