Question

Gabriella goes to a store and buys an item that costs xx dollars. She has a coupon for 35% off, and then a 8% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Gabriella paid at the register.

Answer 1

To calculate the total amount that Gabriella paid at the register after using her coupon and including tax, we can break down the steps:

1. **Calculate the discount amount:**
Gabriella has a coupon for 35% off the item that costs \( x \) dollars. The discount amount is:
\[
0.35x
\]

2. **Calculate the discounted price:**
The price after applying the discount is:
\[
x - 0.35x = 0.65x
\]

3. **Calculate the tax on the discounted price:**
An 8% tax is then added to the discounted price. The tax amount is:
\[
0.08 \times (0.65x) = 0.052x
\]

4. **Calculate the total amount paid:**
To find the total amount Gabriella paid at the register, we add the tax to the discounted price:
\[
\text{Total amount paid} = \text{Discounted price} + \text{Tax amount}
\]
\[
\text{Total amount paid} = 0.65x + 0.052x = 0.702x
\]

So, the expression for the total amount that Gabriella paid at the register is:
\[
0.702x
\]