Question

Serina bought 300 shares of stock at 24 1/2. She had to pay a 1% commission to her broker. What was the total price of the stock?

Answer 1

`\stackrel{mixed}{24(1)/(2)}\implies \cfrac{24\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{49}{2}} \\\\[-0.35em] ~\dotfill`

`300\cdot 24(1)/(2)\implies 300\cdot \cfrac{49}{2}\implies 7350\qquad \textit{now let's add the 1\% for the broker} \\\\[-0.35em] ~\dotfill\\\\ \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{1\% of 7350}}{\left( \cfrac{1}{100} \right)7350}\implies 73.5~\hfill \stackrel{7350~~ + ~~73.5}{\text{\LARGE 7423.5}}`