olden and Bryson started to hike a portion of the Appalachian trail that is 12 2/5 miles long. Due to snow, they had to stop after hiking when they were 5/8 of the way through the trail. How many miles had they traveled?

Respuesta :

Answer:

Olden and Bryson travelled [tex] 7\frac{6}{8} [/tex] miles

Step-by-step explanation:

Given:

Length of the Appalachian trail  = 12 2/5 miles.

Stopped after hiking 5/8 of the way through the trail.

To Find:

Miles had they travelled = ?

Solution:

Let the distance travelled by olden and Bryson be x,

Then

x  = [tex]\frac{5}{8}[/tex]  of the Length of the Appalachian trail

x  = [tex]\frac{5}{8}[/tex]  of [tex]12 \frac{2}{5}[/tex]

[tex]x = \frac{5}{8} \times 12 \frac{2}{5}[/tex]

[tex]x = \frac{5}{8} \times \frac{62}{5}[/tex]

[tex]x = \frac{62}{8} [/tex]

[tex]x=7\frac{6}{8} [/tex]