You are shopping and see an item that is normally priced for $\$ 950$ on sale for $25 \%$ off. However, you have a coupon for an additional $20 \%$ off. (The cashier will apply your coupon to the sale price, not the normal price.)
What is the final cost of the item (before sales tax) after the sale and coupon discounts?
Ans: The final cost is $\$$
Answer
So, the final cost of the item (before sales tax) after the sale and coupon discounts is \(\boxed{570}\) dollars.
Step 1 ：Let's denote the original price of the item as \( P \), which is \$950.
Step 2 ：The item is on sale for 25% off, so the sale price \( S \) can be calculated as \( S = P - 0.25P = 0.75P \). Substituting \( P = 950 \) gives us \( S = 0.75 \times 950 = \$712.5 \).
Step 3 ：We have a coupon for an additional 20% off the sale price. So, the final price \( F \) can be calculated as \( F = S - 0.20S = 0.80S \). Substituting \( S = 712.5 \) gives us \( F = 0.80 \times 712.5 = \$570 \).
Step 4 ：So, the final cost of the item (before sales tax) after the sale and coupon discounts is \(\boxed{570}\) dollars.
