Question

Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?

Answer 1

well, let's first find out how much is the bill plus tip.

`\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{20\% of 100.50}}{\left( \cfrac{20}{100} \right)100.50}\implies 20.10~\hfill~\stackrel{ 100.50~~ + ~~20.10 }{\text{\LARGE 120.60}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{120.60}{\underset{\textit{divided by 2}}{2}}\implies \text{\LARGE 60.30} ~~ \textit{each person}`