Question

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

Answer 1

Answer:

The answer is 8 miles

Step-by-step 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

$\frac{150}{100} x = 12 \\ \\ \frac{3}{2} x = 12$

Multiply through by 2

That's

$2 \times \frac{3}{2} x = 12 \times 2$

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