Question

A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then

Answer 1

Answer: 80 cm of chain weighs 2 kg.

Answer 2

W = 0.025L

Explanation:

A piece of a chain's length and weight are in proportion.

If L represents the length in cm and weight is represented by W in kg, then we can write W = aL + b ........(1)

Now, if the length of the chin is 0, then the weight will also be 0. So, from equation (1), we can write W =aL ....... (2) as b becomes zero.

Now, the 320 cm of chain weighs 8 kg.

So, from equation (2), we get, 8 = 320a, ⇒ a = 0.025 kg/cm

So, the equation becomes W = 0.025L (Answer)