A laptop has a listed price of $1,200. During a weekend promotion, the store first discounts the price by 15%, and a shopper then applies a coupon that takes an additional $60 off the discounted price.
What is the final price, in dollars, the shopper pays for the laptop?
A percent discount tells you how much of the listed price is removed, not how much remains. Find the percent still owed, then use Desmos to calculate the discounted price. A fixed-dollar coupon comes off after that calculation; stopping at the discounted price leaves out the coupon.
Hints
- Hint 1
A 15% discount is the part taken away, not the new price. Start with the full of the listed price. What percent remains after the discount?
- Hint 2
The base of a percent is the amount you take it from. Here, the discount uses the listed price as its base. What is the discounted price before the coupon?
- Hint 3
The coupon removes $60, a fixed number of dollars, from the discounted price. It isn't another percentage. What do you subtract once you know that price?
Step-by-step
Discount first, then subtract the coupon
Step 1Find the percent of the price left
A discount removes a percent of the listed price. Start with the whole , then subtract the 15% removed:
So the shopper owes of the listed price before using the coupon.
- Step 2
Calculate the discounted price
Type in Desmos. It returns , so the discounted price is $1,020 before the coupon.
- Step 3
Subtract the coupon
The coupon takes $60 off the discounted price. Type on the next Desmos line; it returns . Apply the percent discount first, then subtract the fixed-dollar coupon. The shopper pays $960. Grid in 960.