Question

Kennedy goes to a store an buys an item that costs xx dollars. She has a coupon for 35% 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 Kennedy paid at the register.

Answer 1

We are given that an item has a cost xx.

First, we will calculate the 35% discount on the total price. To do that we will subtract 35% of the initial cost from the initial cost

To calculate the 35% we multiply the price by 35/100, like this:

`xx*(35)/(100)`

Now we subtract this from the initial price, which was "xx". Subtracting we get:

`P_d=xx-xx*(35)/(100)`

This is the cost with the discount. Now, we will add to this the tax of 7%. First, we calculate the 7% of the price with the discount by multiplying it by 7/100, like this:

`(xx-xx*(35)/(100))*(7)/(100)`

Now, we add this to the price with the discount, like this:

`T=(xx-xx*(35)/(100))+(xx-xx*(35)/(100))*(7)/(100)`

Now, we can simplify. We start by using the distributive property on the second parenthesis:

`T=xx-xx*(35)/(100)+xx*(7)/(100)-xx*(35)/(100)*(7)/(100)`

Now we solve the product of 35/100 by 7/100, we get:

`T=T=xx-xx*(35)/(100)+xx*(7)/(100)-xx*(49)/(2000)`

Now we take xx as a co