Question

Adam goes to a store and buys an item that costs xx dollars. He has a coupon for 30% 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 Adam paid at the register.

Answer 1

To find the total amount that Adam paid at the register, we can follow these steps:

1. **Calculate the discount:** Adam has a coupon for 30% off the original price, \( x \). The amount of the discount is:
\[
0.30x
\]

Therefore, the discounted price is:
\[
x - 0.30x = 0.70x
\]

2. **Calculate the tax on the discounted price:** After applying the discount, a tax of 7% is added to the discounted price. The tax amount on the discounted price of \( 0.70x \) is:
\[
0.07 \times 0.70x = 0.049x
\]

3. **Calculate the total amount paid:** The total amount that Adam paid at the register is the discounted price plus the tax:
\[
0.70x + 0.049x = (0.70 + 0.049)x = 0.749x
\]

Thus, the total amount that Adam paid at the register, in terms of \( x \), is:
\[
\boxed{0.749x}
\]