Malika goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Malika decides to leave a tip of 21% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Malika paid.

Answer 1

To calculate the total amount that Malika paid, we need to consider both the tax and the tip.

1. Calculate the tax: The tax is 8% of the subtotal, which is represented by \( xx \). \[ \text{Tax} = 0.08 \times xx \]

2. Calculate the total after tax: We need to add the tax to the subtotal to find the total bill before tip. The total bill can be expressed as: \[ \text{Total Bill} = xx + \text{Tax} = xx + 0.08 \times xx = xx (1 + 0.08) = xx \times 1.08 \]

3. Calculate the tip: The tip is 21% of the total bill (which includes tax). \[ \text{Tip} = 0.21 \times \text{Total Bill} = 0.21 \times (xx \times 1.08) \]

4. Calculate the total amount Malika paid: Finally, we add the total bill and the tip together: \[ \text{Total Amount Paid} = \text{Total Bill} + \text{Tip} \] Replacing the expressions for Total Bill and Tip: \[ \text{Total Amount Paid} = (xx \times 1.08) + (0.21 \times (xx \times 1.08)) \]

5. Factor out \( xx \times 1.08 \): \[ \text{Total Amount Paid} = xx \times 1.08 \left(1 + 0.21\right) \] \[ \text{Total Amount Paid} = xx \times 1.08 \times 1.21 \]

6. Calculate \( 1.08 \times 1.21 \): \[ 1.08 \times 1.21 = 1.30368 \]

Thus, the expression for the total amount that Malika paid in terms of \( xx \) is: \[ \text{Total Amount Paid} = 1.30368 \times xx \]