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Idil goes to a restaurant and the subtotal on the bill was 
x dollars. A tax of 
8% is applied to the bill. Idil decides to leave a tip of 
25% on the entire bill (including the tax). Write an expression in terms of 
x that represents the total amount that Idil paid.
Answer:

Idil goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 8% 8 \% is applied to the bill. Idil decides to leave a tip of 25% 25 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Idil paid.\newlineAnswer:

Full solution

Q. Idil goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 8% 8 \% is applied to the bill. Idil decides to leave a tip of 25% 25 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Idil paid.\newlineAnswer:
  1. Calculate tax amount: Calculate the tax amount.\newlineWe know:\newlineSubtotal = xx dollars\newlineTax rate = 8%8\%\newlineFind the amount of the tax.\newlineTax amount = x×0.08x \times 0.08
  2. Add to subtotal: Add the tax amount to the subtotal to get the total bill before the tip.\newlineTotal bill before tip = Subtotal + Tax amount\newlineTotal bill before tip = x+(x×0.08)x + (x \times 0.08)
  3. Calculate tip amount: Calculate the tip amount.\newlineWe know:\newlineTip percentage = 25%25\%\newlineThe tip is calculated on the entire bill (including tax).\newlineFind the amount of the tip.\newlineTip amount = Total bill before tip ×0.25\times 0.25\newlineTip amount = (x+(x×0.08))×0.25(x + (x \times 0.08)) \times 0.25
  4. Add to total bill: Add the tip amount to the total bill before tip to get the total amount paid.\newlineTotal amount paid = Total bill before tip + Tip amount\newlineTotal amount paid = (x+(x×0.08))+(x+(x×0.08))×0.25(x + (x \times 0.08)) + (x + (x \times 0.08)) \times 0.25
  5. Simplify total amount: Simplify the expression for the total amount paid.\newlineTotal amount paid = x+0.08x+0.25x+0.02xx + 0.08x + 0.25x + 0.02x\newlineTotal amount paid = x(1+0.08+0.25+0.02)x(1 + 0.08 + 0.25 + 0.02)\newlineTotal amount paid = x(1.35)x(1.35)

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