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Taub goes to a restaurant and the subtotal on the bill was 
x dollars. A tax of 
6% is applied to the bill. Taub 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 Taub paid.
Answer:

Taub goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 6% 6 \% is applied to the bill. Taub 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 Taub paid.\newlineAnswer:

Full solution

Q. Taub goes to a restaurant and the subtotal on the bill was x x dollars. A tax of 6% 6 \% is applied to the bill. Taub 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 Taub paid.\newlineAnswer:
  1. Calculate Tax Amount: Calculate the tax amount.\newlineTax rate = 6%6\%\newlineTax amount = x×0.06x \times 0.06
  2. Add to Subtotal: Add the tax amount to the subtotal to get the total bill before the tip.\newlineTotal bill before tip = x+(x×0.06)x + (x \times 0.06)
  3. Calculate Tip Amount: Calculate the tip amount, which is 19%19\% of the total bill including tax.\newlineTip rate = 19%19\%\newlineTip amount = (x+(x×0.06))×0.19(x + (x \times 0.06)) \times 0.19
  4. Add Tip to Total: Add the tip amount to the total bill before tip to get the final total amount paid.\newlineTotal amount paid = (x+(x×0.06))+((x+(x×0.06))×0.19)(x + (x \times 0.06)) + ((x + (x \times 0.06)) \times 0.19)
  5. Simplify Total Amount: Simplify the expression for the total amount paid.\newlineTotal amount paid = x+0.06x+0.19x+(0.06x×0.19)x + 0.06x + 0.19x + (0.06x \times 0.19)\newlineTotal amount paid = x×(1+0.06+0.19+(0.06×0.19))x \times (1 + 0.06 + 0.19 + (0.06 \times 0.19))

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