Question

Zoe paid
\[\$18.60\] in sales tax and tips for her dinner. The sales tax rate is
\[11\%\], and she tipped
\[20\%\]. (The sales tax does not apply to the tip, and the tip is based on the price of the dinner before sales tax.)
What was the price of Zoe's dinner, before sales tax and tip?
\[\$\]

Answer 1

Let the dinner price be P. Sales tax = 0.11P and tip = 0.20P, so
0.11P + 0.20P = 0.31P = 18.60.
Thus P = 18.60 / 0.31 = 60.

Answer: $60.