Lydia goes to a restaurant and the subtotal on the bill was x dollars. A tax of 6% is applied to the bill. Lydia decides to leave a tip of 23% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Lydia paid.Answer:
Q. Lydia goes to a restaurant and the subtotal on the bill was x dollars. A tax of 6% is applied to the bill. Lydia decides to leave a tip of 23% on the entire bill (including the tax). Write an expression in terms of x that represents the total amount that Lydia paid.Answer:
Calculate Tax: First, calculate the tax on the subtotal of the bill.Tax = Subtotal * Tax rateTax = x∗6%Tax = x∗0.06
Add to Subtotal: Next, add the tax to the subtotal to get the total bill before the tip.Total before tip = Subtotal + TaxTotal before tip = x+x×0.06Total before tip = x×(1+0.06)Total before tip = x×1.06
Calculate Tip: Now, calculate the tip based on the total bill including tax. Tip =Total before tip×Tip percentageTip =x×1.06×23%Tip =x×1.06×0.23
Find Total Amount Paid: Finally, add the tip to the total before tip to find the total amount Lydia paid.Total amount paid = Total before tip + TipTotal amount paid = x×1.06+x×1.06×0.23Total amount paid = x×1.06×(1+0.23)Total amount paid = x×1.06×1.23
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