Final answer:
To determine the total amount Chloe paid for the purse after a 25% discount and adding 7% sales tax, the discount and sales tax are calculated and applied to the original price, leading to a final amount of $103.73, though this does not match the provided options exactly.
Step-by-step explanation:
The question requires us to calculate the final amount paid for a purse after applying a discount and adding sales tax. To find the final cost of Chloe's purse, we'll need to calculate the discounted price first and then add the appropriate sales tax.
First, we determine the discount amount by multiplying the original price of the purse ($129.25) by the discount rate (25%).
Discount Amount = $129.25 × 0.25 = $32.3125 or $32.31 when rounded to the nearest cent.
Next, we subtract the discount amount from the original price to find the discounted price.
Discounted Price = $129.25 - $32.31 = $96.94
Afterward, we calculate the sales tax on the discounted price by converting the sales tax rate to a decimal (7% becomes 0.07) and then multiplying it by the discounted price.
Sales Tax = $96.94 × 0.07 = $6.7858 or $6.79 when rounded to the nearest cent.
Finally, we add the sales tax to the discounted price to get the total amount that Chloe paid for the purse.
Final Amount = $96.94 + $6.79 = $103.73
Compared to the options given in the question, the closest to our calculated final amount is option B) $109.73; however, since our calculation does not match any of the given options exactly, and we have confidence in our process and calculations, we must assume there was a slight discrepancy or typo in the provided options.