Complete Question:
Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25% than she had hiked in the morning.
How many kilometers did Haruka hike in all?
Answer:
10.5 km
Step-by-step explanation:
Given
Represent Morning with M and Afternoon with A
[tex]A = 6km[/tex]
From the second sentence in the question, we have that:
[tex]M = A - 25\% * A[/tex]
Required
Determine the total kilometers
First, we need to determine the kilometers moved by substituting 6 for A in the second equation
[tex]M = A - 25\% * A[/tex]
[tex]M = 6 - 25\% * 6[/tex]
[tex]M = 6 - 1.5[/tex]
[tex]M = 4.5[/tex]
Next, is to determine the total using:
[tex]Total = A + M[/tex]
[tex]Total = 6 + 4.5[/tex]
[tex]Total = 10.5\ km[/tex]
