need help

Marked at half price and less the dealer discount of $4.50, the CD cost $4.50. How much was the original price of the CD?

key words:

Marked at half price means the CD is 1/2 the original value

Less means minus,

So, with the half price and discount:

let x = price of original CD

(1/2)*x-4.50 = 4.50

solve for x to find the original price of the CD

I do not understand

take 4.50 off half x and end up with 4.50

(1/2) x = 9
x = 18

To find the original price of the CD, we can follow these steps:

Step 1: Determine the discounted price
Since the CD is marked at half price and there is an additional dealer discount of $4.50, the discounted price can be calculated by subtracting the discount from the marked price.
Discounted price = Marked price - Dealer discount

In this case, the discounted price is equal to $4.50, so we have:
Discounted price = $4.50

Step 2: Determine the marked price
Since the discounted price is half of the marked price, we can calculate the marked price by multiplying the discounted price by 2.
Marked price = Discounted price * 2

Substituting the value of the discounted price, we have:
Marked price = $4.50 * 2

Simplifying the equation, we get:
Marked price = $9

Therefore, the original price of the CD was $9.