We need to find how many trips she will have to make to cover a total of 24 kilometers.
We know that she covered 15 kilometers by making 5 trips. Thus, the number of kilometers made on each trip is:
[tex]\frac{15\text{ kilometers}}{5\text{ trips}}=\frac{15\div5\text{ kilometers}}{5\div5\text{ trip}}=\frac{3\text{ kilometers}}{1\text{ trip}}[/tex]Then, she made 3 kilometers on 1 trip (unit rate).
Now, to cover 24 kilometers, she needs to make 8 trips, because:
[tex]\begin{gathered} 3\text{ kilometers }\times8=24\text{ kilometers} \\ \\ 1\text{ trip }\times8=8\text{ trips} \end{gathered}[/tex]Thus:
[tex]\frac{3\text{ kilometers}}{1\text{ trip}}=\frac{3\text{ kilometers}}{1\text{ trip}}\times\frac{8}{8}=\frac{3\times8\text{ kilometers}}{1\times8\text{ trips}}=\frac{24\text{ kilometers}}{8\text{ trips}}[/tex]Answer: She will have to make 8 trips.
