There are a lot of ways to solve this. Let's try this.
First, consider when one calculates a discount price:
Original price - amount of discount = discount price
The amount of discount is how much was taken off. The discount price is what the selling price was after the discount.
Now, to calculate the amount of a discount, we would multiply the original price by the percent discount. So, for this problem:
amount of discount = 0.10x 0.10 comes from the 10%
always move the decimal point
2 places to the left
We are taking x = original price of the item.
So, then, our equation becomes:
x - 0.10x = discount price
We are given the discount price, $97.40. So, then, we have:
x - 0.10x = 97.40
Solving this for x:
0.90x = 97.40
x = approx. $108.22 is the discounted price.
Good luck, Jayson. I hope this helps.