Haruka hiked several kilometers in the morning. She hiked only 6 66 kilometers in the afternoon, which was 25 % 25%25, percent less than she had hiked in the morning. How many kilometers did Haruka hike in all?

Respuesta :

Answer:

Harukah hiked for 14 km in all.    

Step-by-step explanation:

We are given the following in the question:

Hike in afternoon = 6 km

Let Haruka hike x km in the morning.

We are given the relation:

[tex]6 = x - 25\%(x) \\\\6 = x - \dfrac{25}{100}\times x\\\\6 = 0.75x\\\\x = \dfrac{6}{0.75}\\\\x = 8[/tex]

Thus, Haruka hiked for 8 km in the morning.

Total hike length of Harukah =

[tex]=6 + 8\\=14\text{ km}[/tex]

Thus, Harukah hiked for 14 km in all.

Answer: 14 km

Step-by-step explanation: