Question

Francisco goes to a store and buys an item that costs xx dollars. He has a coupon for 15% 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 Francisco paid at the register.

Answer 1

To express the total amount that Francisco paid at the register, we will follow these steps:

1. **Calculate the discount**: Since he has a coupon for 15% off the original price \( x \), the amount of the discount is:
\[
0.15x
\]

The discounted price after applying the coupon will be:
\[
x - 0.15x = 0.85x
\]

2. **Add tax**: After applying the discount, an 8% tax is added to the discounted price. The tax on the discounted price \( 0.85x \) is:
\[
0.08 \times 0.85x = 0.068x
\]

Therefore, the total amount Francisco pays after tax will be the discounted price plus the tax:
\[
0.85x + 0.068x
\]

3. **Combine the terms**: Now we combine the two amounts:
\[
0.85x + 0.068x = (0.85 + 0.068)x = 0.918x
\]

Thus, the expression that represents the total amount that Francisco paid at the register is:
\[
0.918x
\]