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Aria goes to a restaurant and the subtotal on the bill was 
x dollars. A tax of 
5% is applied to the bill. Aria decides to leave a tip of 
19% on the entire bill (including the tax). Write an expression in terms of 
x that represents the total amount that Aria paid.
Answer:

Aria goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 5% 5 \% is applied to the bill. Aria decides to leave a tip of 19% 19 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Aria paid.\newlineAnswer:

Full solution

Q. Aria goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 5% 5 \% is applied to the bill. Aria decides to leave a tip of 19% 19 \% on the entire bill (including the tax). Write an expression in terms of x x that represents the total amount that Aria paid.\newlineAnswer:
  1. Calculate Tax Amount: First, calculate the tax on the subtotal of the bill.\newlineTax rate = 5%5\%\newlineTax amount = x×0.05x \times 0.05
  2. Calculate Total Before Tip: Add the tax to the subtotal to get the total bill amount before the tip.\newlineTotal before tip = x+(x×0.05)x + (x \times 0.05)\newlineTotal before tip = x×(1+0.05)x \times (1 + 0.05)\newlineTotal before tip = x×1.05x \times 1.05
  3. Calculate Tip Amount: Now, calculate the tip Aria decides to leave, which is 19%19\% of the total bill amount including tax.\newlineTip rate = 19%19\%\newlineTip amount = (x×1.05)×0.19(x \times 1.05) \times 0.19
  4. Calculate Final Amount Paid: Add the tip to the total bill amount before the tip to get the final amount Aria paid.\newlineTotal amount paid = x1.05x * 1.05 + \(x * 1.05 * 00.1919\)\newlineTotal amount paid = x1.05$1+0.19x * 1.05 * \$1 + 0.19\)\newlineTotal amount paid = x1.051.19x * 1.05 * 1.19

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