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

Define Variables: Let's denote the price of Zoe's dinner before sales tax and tip as P. We know that Zoe paid $18.60 in total for sales tax and tips. We also know that the sales tax rate is 11% and the tip rate is 20%. We can express the total amount paid for sales tax and tips as a sum of 11% of P (sales tax) and 20% of P (tip).Write Equation: We can write the equation based on the information given: 0.11P (sales tax) + 0.20P (tip) = $18.60Combine Percentages: Combine the percentages to simplify the equation: (0.11 + 0.20)P = 0.31P 0.31P = $18.60Solve for P: Now, we solve for P by dividing both sides of the equation by 0.31: P = $18.60 / 0.31Find Price of Dinner: Perform the division to find the price of Zoe's dinner before sales tax and tip: P = $60

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