Question

Ryan goes to a store and buys an item that costs xx dollars. He has a coupon for 5% off, and then a 7% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Ryan paid at the register.
Answer

Answer 1

To determine the total amount Ryan paid at the register after applying the discount and adding tax, follow these steps:

1. Calculate the discount from the item price:
\[
\text{Discounted Price} = x - 0.05x = 0.95x
\]
(This represents the price after applying the 5% coupon.)

2. Calculate the amount of tax added to the discounted price:
\[
\text{Tax} = 0.07 \times (0.95x) = 0.0665x
\]

3. Calculate the total amount paid after adding the tax to the discounted price:
\[
\text{Total Amount Paid} = \text{Discounted Price} + \text{Tax} = 0.95x + 0.0665x
\]

4. Combine the terms:
\[
\text{Total Amount Paid} = (0.95 + 0.0665)x = 1.0165x
\]

Thus, the expression that represents the total amount Ryan paid at the register is:
\[
\boxed{1.0165x}
\]