Question

Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 7% is applied to the bill. Hailey decides to leave a tip of 20% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.

Answer 1

To find the total amount that Hailey paid, we can break down the calculation into steps.

1. **Calculate the tax**: The tax is 7% of the subtotal, \( xx \).
\[
\text{Tax} = 0.07 \times xx
\]

2. **Calculate the total after tax**: This is the subtotal plus the tax.
\[
\text{Total after tax} = xx + 0.07 \times xx = xx(1 + 0.07) = xx \times 1.07
\]

3. **Calculate the tip**: The tip is 20% of the total after tax.
\[
\text{Tip} = 0.20 \times (xx \times 1.07) = 0.20 \times 1.07 \times xx = 0.214 \times xx
\]

4. **Calculate the total amount paid**: This is the total after tax plus the tip.
\[
\text{Total amount paid} = \text{Total after tax} + \text{Tip} = (xx \times 1.07) + (0.214 \times xx)
\]

5. **Combine the terms**:
\[
\text{Total amount paid} = (1.07 + 0.214) \times xx = 1.284 \times xx
\]

Thus, the expression in terms of \( xx \) that represents the total amount that Hailey paid is:
\[
1.284 \times xx
\]