Question

Violet goes to a store an buys an item that costs � x 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 � x that represents the total amount that Violet paid at the register.

Answer 1

The amount of discount is 35% of � x, which is (35/100)� x = 0.35� x. So, the discounted price is � x minus the discount, which is � x - 0.35� x = 0.65� x.

Then, the tax is added to the discounted price, which is 8% of the discounted price, or (8/100)(0.65� x) = 0.052� x.

Therefore, the expression for the total amount that Violet paid at the register is:

0.65� x + 0.052� x = 0.702� x