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Aaron goes to a restaurant and the subtotal on the bill was 
x dollars. A tax of 
7% is applied to the bill. Aaron decides to leave a tip of 
17% on the entire bill (including the tax). Write an expression in terms of 
x that represents the total amount that Aaron paid.
Answer:

Aaron goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 7% 7 \% is applied to the bill. Aaron decides to leave a tip of 17% 17 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Aaron paid.\newlineAnswer:

Full solution

Q. Aaron goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 7% 7 \% is applied to the bill. Aaron decides to leave a tip of 17% 17 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Aaron paid.\newlineAnswer:
  1. Calculate Tax: First, calculate the tax on the subtotal of the bill.\newlineTax = Subtotal * Tax rate\newlineTax = x7%x * 7\%\newlineTax = x0.07x * 0.07
  2. Calculate Total Before Tip: Next, add the tax to the subtotal to get the total bill amount before the tip.\newlineTotal before tip = Subtotal + Tax\newlineTotal before tip = x+x×0.07x + x \times 0.07\newlineTotal before tip = x×(1+0.07)x \times (1 + 0.07)\newlineTotal before tip = x×1.07x \times 1.07
  3. Calculate Tip: Now, calculate the tip based on the total bill amount including tax. \newlineTip =Total before tip×Tip rate= \text{Total before tip} \times \text{Tip rate}\newlineTip =x×1.07×17%= x \times 1.07 \times 17\%\newlineTip =x×1.07×0.17= x \times 1.07 \times 0.17
  4. Calculate Total Amount Paid: Finally, add the tip to the total before tip to find the total amount paid.\newlineTotal amount paid = Total before tip + Tip\newlineTotal amount paid = x×1.07+x×1.07×0.17x \times 1.07 + x \times 1.07 \times 0.17\newlineTotal amount paid = x×1.07×(1+0.17)x \times 1.07 \times (1 + 0.17)\newlineTotal amount paid = x×1.07×1.17x \times 1.07 \times 1.17

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