Question

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

Answer 1

The price of dinner before sales tax and tip is $60.

Step-by-step explanation:

Let the price of before sales tax and tip be x.

The amount of tip is 20% of the price of dinner. So, the amount of tip is

`(20)/(100)x`

The amount of sales tax is 11% of the price of dinner. So, the amount of sales tax is

`(11)/(100)x`

It is given that Zoe paid $18.60 in sales tax and tips for her dinner. Therefore the sum of tip and sales tax is $18.60.

`(20)/(100)x+(11)/(100)x=18.60`

`(20+11)/(100)x=18.60`

`31x=1860`

`x=60`

Therefore the price of dinner before sales tax and tip is $60.