locating points

Question

If a hiking trail is 24 miles from start to finish. Janice says she the distance she has walked and the distance left has a ratio of 5:7. How many miles has she walked?

Answer 1

Distance walked = 5x

Distance left = 7x

5x + 7x = 24

12x = 24

So, x = 2.

Distabce walked = 5x = 10 miles

Answer 2

The ratio of 5:7 means there are 5+7 = 12 pieces. So if you take the total divided by 12, 24/12 = 2. Each segment would be 2.

5x2 = 10 and 7x2 = 14

Checking this 10/14 = 5/7

The the distance she walked already is 10 mile, she has 14 to go.