In order to find the number of weeks w it will take Anita to reach her goal, we need to solve the following equation for w:
[tex]13.75w+43.75=112.50[/tex]So, we can apply the same operations on both sides of the equation, until we isolate the variable w and find its value.
We obtain:
[tex]\begin{gathered} 13.75w+43.75-43.75=112.50-43.75 \\ \\ 13.75w=68.75 \\ \\ \frac{13.75w}{13.75}=\frac{68.75}{13.75} \\ \\ w=5 \end{gathered}[/tex]Therefore, Anita will have saved enough money for the snowboard in 5 weeks.