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? \$

Respuesta :

Answer:  $60

Step-by-step explanation:

Let the total price of Zoe dinner = x

According to question,

He paid 11 % sales tax  20% on tip.

Therefore,  he paid total extra charge = 11 + 20 = 31 %

That is, he paid 31 % extra in sales tax and tips for dinner.

But again according to the question,

Zoe paid $18.60 in sales tax and tips for her dinner.

31 % of x = 18.60

⇒ [tex]\frac{x\times 31}{100} = 18.60[/tex]

⇒ [tex]x\times 31= 1860[/tex]

⇒ [tex]x = \frac{1860}{31}[/tex]

⇒ x = 60

Thus, The total cost of Zoe's dinner before tax = $60