Question

Anita has saved $43.75 of the $112.50 that she needs for a new snowboard.She saves $13.75 from her paper route each week. The equation13.75w + 43.75 = 112.50 can be used to represent the number of weeksit will take her to reach her goal. In how many more weeks will Anita havesaved enough money for the snowboard?

Answer 1

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:

$13.75w+43.75=112.50$

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:

$\begin{gathered} 13.75w+43.75-43.75=112.50-43.75 \\ \\ 13.75w=68.75 \\ \\ \frac{13.75w}{13.75}=\frac{68.75}{13.75} \\ \\ w=5 \end{gathered}$

Therefore, Anita will have saved enough money for the snowboard in 5 weeks.