Final answer:
The final price of the sofa that originally cost $550, after a 30% discount and an additional 15% off coupon, is $327.25.
Step-by-step explanation:
To find the final price of the sofa, we need to calculate the discount applied and then subtract it from the original price. First, we find the discount of 30% by multiplying $550 (the original price) by 0.3:
Discount = $550 × 0.3 = $165
Next, we subtract the discount from the original price to get the sale price:
Sale price = $550 - $165 = $385
Lastly, we apply the additional 15% off coupon. We find the discount by multiplying $385 (the sale price) by 0.15:
Discount = $385 × 0.15 = $57.75
Finally, we subtract the discount from the sale price to get the final price:
Final price = $385 - $57.75 = $327.25