Janelys goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 9% is applied to the bill. Janelys decides to leave a tip of 22% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Janelys paid.

Answer 1

To find the total amount that Janelys paid, we need to consider both the tax and the tip based on the subtotal amount \( xx \).

1. Calculate the tax: Since the tax rate is 9%, the tax amount can be calculated as: \[ \text{Tax} = 0.09 \times xx \]

2. Calculate the total bill including tax: The total bill after adding the tax is: \[ \text{Total Bill} = xx + \text{Tax} = xx + 0.09 \times xx = xx(1 + 0.09) = xx \times 1.09 \]

3. Calculate the tip: The tip is 22% of the total bill (including the tax): \[ \text{Tip} = 0.22 \times \text{Total Bill} = 0.22 \times (xx \times 1.09) \]

4. Calculate the total amount paid: The total amount Janelys paid is the sum of the total bill and the tip: \[ \text{Total Amount Paid} = \text{Total Bill} + \text{Tip} = (xx \times 1.09) + (0.22 \times (xx \times 1.09)) \] Factor out \( xx \times 1.09 \): \[ \text{Total Amount Paid} = xx \times 1.09 \times (1 + 0.22) = xx \times 1.09 \times 1.22 \]

Now, simplifying this gives: \[ \text{Total Amount Paid} = xx \times (1.09 \times 1.22) \]

Calculating \( 1.09 \times 1.22 \): \[ 1.09 \times 1.22 = 1.3278 \]

Thus, the expression representing the total amount that Janelys paid is: \[ \text{Total Amount Paid} = xx \times 1.3278 \]