Question

6% of a length is 390 m.
What is the original length?
Give your answer in metres (m).

Answer 1

`\huge\boxed{\sf x = 6500 \ m}`

Explanation:

Let the original length be x.

Given that,

6% of original length = 390 m

Key: "%" means "out of 100" and "of" means "to multiply"

So,

`\displaystyle (6)/(100) * x = 390\\\\0.06 * x = 390\\\\Divide \ both \ sides \ by \ 0.06\\\\x = 390/0.06\\\\x = 6500 \ m \\\\\rule[225]{225}{2}`