Question

Spencer wants to buy a new softball glove that costs $46.50. He has $15 and plans to save $5.25 each week. How many weeks will it take Spencer to save the money?

Answer 1

Spencer wants to buy a softball glove and he needs a total of 46.50

He already has 15, and he plans to save 5.25 for an unknown number of weeks, which we shall call w, hence;

$\begin{gathered} 46.50=15+5.25\times w \\ 5.25\text{ saved for w number of weeks is expressed as 5.25 times w} \\ 46.50=15+5.25w \\ \text{Collect all like terms} \\ 46.50-15=5.25w \\ 31.5=5.25w \\ \text{Divide both sides by 5.25} \\ \frac{31.5}{5.25}=\frac{5.25w}{5.25} \\ 6=w \end{gathered}$

The calculations show that Spencer will have to save for 6 weeks to save up for the new softball glove