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Owen goes to a restaurant and the subtotal on the bill was 
x dollars. A tax of 
7% is applied to the bill. Owen 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 Owen paid.
Answer:

Owen goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 7% 7 \% is applied to the bill. Owen decides to leave a tip of 23% 23 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Owen paid.\newlineAnswer:

Full solution

Q. Owen goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 7% 7 \% is applied to the bill. Owen decides to leave a tip of 23% 23 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Owen paid.\newlineAnswer:
  1. Calculate Tax: First, we need to calculate the tax on the subtotal of the bill.\newlineTax rate = 7%7\%\newlineSubtotal = xx dollars\newlineTax amount = x×0.07x \times 0.07
  2. Add Tax to Subtotal: Next, we need to add the tax to the subtotal to get the total bill amount before the tip.\newlineTotal before tip = Subtotal + Tax amount\newlineTotal before tip = x+(x×0.07)x + (x \times 0.07)
  3. Calculate Tip Amount: Now, we need to calculate the tip Owen decides to leave, which is 23%23\% of the total bill amount including tax.\newlineTip percentage = 23%23\%\newlineTip amount = Total before tip ×0.23\times 0.23\newlineTip amount = (x+(x×0.07))×0.23(x + (x \times 0.07)) \times 0.23
  4. Find Total Amount Paid: Finally, we add the tip amount to the total before tip to find the total amount Owen paid.\newlineTotal amount paid = Total before tip + Tip amount\newlineTotal amount paid = (x+(x×0.07))+((x+(x×0.07))×0.23)(x + (x \times 0.07)) + ((x + (x \times 0.07)) \times 0.23)

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