Evan went shopping for a new pair of pants because of a sale. The store was offering a 35% discount. If the price on the tag was pp, which expression represents the price after the discount but before tax?

1 answer

To calculate the price after a 35% discount, you first need to find out how much of the original price \( p \) is being deducted as the discount.

A 35% discount means that you will pay 65% of the original price (since 100% - 35% = 65%).

To represent the price after the discount, you can use the following expression:

\[ \text{Price after discount} = p \times (1 - 0.35) = p \times 0.65 \]

Thus, the expression that represents the price after the discount but before tax is:

\[ 0.65p \]