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A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to cover a total of 24 kilometers? Solve using unit rates.

Sagot :

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.