Question

James and Sarah went out to lunch. The price of lunch for both of them was $20. They tipped their server 15% of that amount.

How much did each person pay if they shared the price of lunch and the tip equally?

Answer 1

`\bf \begin{array} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 20}}{\left( \cfrac{15}{100} \right)20}\implies 3~\hfill \begin{array}{llll} \stackrel{\textit{price + tip}}{20+3\implies 23}\\\\ \stackrel{\textit{each one paid half of 23}}{11.5} \end{array}`

Answer 2

Each person paid $7.67

Explanation:

Total price of lunch = $20

They tipped their server 15% of that amount.

Amount of tip =
`15\% * 20 = (15)/(100) * 20 = 3`

Total price of lunch including tip = 3+20=$23

Now James and Sarah shared the price of lunch and the tip equally

Each person paid amount =
`(23)/(3)=7.67`

Hence each person paid $7.67