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? $

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?  $

Bytelearn · Accepted Answer

Given Information: We know: Total amount paid for sales tax and tips: $18.60 Sales tax rate: 11% Tip percentage: 20% We need to find the price of the dinner before sales tax and tip.  Let's denote the price of the dinner before sales tax and tip as P.  The sales tax is 11% of P, which is 0.11 * P. The tip is 20% of P, which is 0.20 * P.  The total amount paid for sales tax and tips is the sum of the sales tax and the tip. So, 0.11 * P + 0.20 * P = $18.60.Denote Price as P: Combine the percentages to simplify the equation: 0.11 * P + 0.20 * P = 0.31 * P  Now we have: 0.31 * P = $18.60  To find P, we divide $18.60 by 0.31: P = $18.60 / 0.31Calculate Total Amount: Perform the division to find P: P = $18.60 / 0.31 P = $60  So, the price of Zoe's dinner before sales tax and tip was $60.

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