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
Explanation:
Given
Represent Morning with M and Afternoon with A
![A = 6km](https://img.qammunity.org/2021/formulas/mathematics/high-school/gqiow2u1z29sdnr6ba4pf3ik8abwpmzscv.png)
From the second sentence in the question, we have that:
![M = A - 25\% * A](https://img.qammunity.org/2021/formulas/mathematics/high-school/60mbxku24ggnhrscyao75fov5na44i687h.png)
Required
Determine the total kilometers
First, we need to determine the kilometers moved by substituting 6 for A in the second equation
![M = A - 25\% * A](https://img.qammunity.org/2021/formulas/mathematics/high-school/60mbxku24ggnhrscyao75fov5na44i687h.png)
![M = 6 - 25\% * 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/mac5gsaghq2bg8yyqewfwyqjnm959d5blp.png)
![M = 6 - 1.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/wrjaxd6qklp5hxy8vb4jhqtl1x20e1rl1x.png)
![M = 4.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/keidb70t1oa0kk8vwmpomxp0icl9txyg70.png)
Next, is to determine the total using:
![Total = A + M](https://img.qammunity.org/2021/formulas/mathematics/high-school/8fe272topalrdoaxmelk8k7ot5roy17tu5.png)
![Total = 6 + 4.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/oolj55zgkyp2ez1jaupl3o3u1qx6iklney.png)
![Total = 10.5\ km](https://img.qammunity.org/2021/formulas/mathematics/high-school/31l7i9aaa7hx5a2kmeytgqb1k79uarl5fe.png)