Final answer:
To find the original price before a 14.5% discount resulted in a payment of $6,498.00, divide the payment by 0.855. This yields an original price of $7,600, which is the amount before the discount was applied.
Step-by-step explanation:
To determine the price of the order before the discount, we need to understand that the final price paid ($6,498.00) is 100% minus the discount percentage (14.5%) of the original price. The discount is applied to the original price, so we can represent the original price as 100%. With a discount of 14.5%, the price paid is 85.5% (100% - 14.5%) of the original price.
Let's call the original price 'P'. Then we have:
We convert the percentage to a decimal by dividing by 100, which gives us 0.855. Now we can set up the equation:
To find 'P', we divide both sides of the equation by 0.855:
- P = $6,498.00 / 0.855
- P = $7,600 (rounded to the nearest dollar)
Therefore, the original price of the order before the discount was $7,600.