Answer: The price of Zoe's dinner before sales tax and tips is $13.96.
Step-by-step explanation:
Since we have given that
Amount Zoe paid after sales tax and tip = $18.60
Let the price before tax be 'x'.
Rate of sales tax = 11%
So, it becomes,
[tex]\frac{11}{100}\times x\\\\=0.11x[/tex]
So, Amount after tax, our equation, becomes,
[tex]x+0.11x=\$18.60\\\\1.11x=\$18.60\\\\x=\frac{18.60}{1.11}\\\\x=\$16.75[/tex]
Now, let the amount before tips be 'y'.
Rate of tips = 20%
So, it becomes,
[tex]\frac{20}{100}\times y\\\\=0.2y[/tex]
So, After tips it becomes,
[tex]y+0.2y=\$16.75\\\\1.2y=\$16.75\\\\y=\frac{16.75}{1.2}\\\\y=\$13.96[/tex]
Hence, The price of Zoe's dinner before sales tax and tips is $13.96.
