Question

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:
\[
\text{Total Amount Paid} = 1.30368 \times xx
\]