Question

The new 12 mile hiking trail is 150% of the length of the original trial. How long was the original trial?

Answer 1

The answer is 8 miles

Explanation:

Let the original trail be x

From the question 150% of the trail is

12 mile

That's

150% of x = 12

So we have

`(150)/(100) x = 12 \\ \\ (3)/(2) x = 12`

Multiply through by 2

That's

`2 * (3)/(2) x = 12 * 2`

We have

3x = 24

Divide both sides by 3

We have the final answer as

x = 8

Therefore the length of the original trail is

8 miles

Hope this helps you