Question

Mae ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,500 worth of merchandise?

Answer 1

662.50 dollars

Explanation:

If she doesn’t sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.

If she does make sales, then she’ll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%

In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,

0.075x+310 = 0.075*4700+310 = 662.50

She earned 662.50 dollars for that week.

Answer 2

well, we know she makes $310 flat regarldess of how much she sells, and then on top of that 7.5% on commission, now, if she sold 4500 bucks of merchandise, hmmm how much is 7.5% of 4500?

`\begin{array}ll \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.5\% of 4500}}{\left( \cfrac{7.5}{100} \right)4500}\implies 337.5~\hfill \underset{total~made~that~week}{\stackrel{310~~ + ~~337.5}{\text{\LARGE 647.5}}}`