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?

Respuesta :

[tex]\bf \begin{array}{|c|ll} \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}[/tex]

Answer:

Each person paid $7.67

Step-by-step explanation:

Total price of lunch = $20

They tipped their server 15% of that amount.

Amount of tip =[tex]15\% \times 20 = \frac{15}{100} \times 20 = 3[/tex]

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 =[tex]\frac{23}{3}=7.67[/tex]

Hence each person paid $7.67

Q&A Education