Question 8·Medium·Percentages
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?
(Express the answer as an integer)
For price and discount problems, first decide the order of operations: apply percentage discounts to the original price, then apply any flat dollar coupons to the new price. Convert percentages to decimals (like 15% → 0.15 or 1 − 0.15 = 0.85) and use multiplication for the percent step and subtraction for the coupon step. Writing a single expression, such as original_price*(1 − percent) − coupon, helps you move quickly and avoid forgetting any discount.
Hints
Convert the percent discount into a dollar amount
Start by finding how many dollars 15% of is. Multiply by or by .
Apply the percent discount first
Once you know 15% of , subtract that amount from to get the sale price before using the coupon.
Use the coupon last
After you have the discounted price, subtract $60 from that number to find how much the shopper actually pays.
Desmos Guide
Compute the final price in one expression
In a Desmos expression line, type 1200*0.85 - 60 (using because a 15% discount means you pay of the price), and read the numerical value Desmos gives; that is the final price after both discounts.
Step-by-step Explanation
Find the amount of the 15% discount
A 15% discount means the store takes of the original price off.
Compute 15% of :
So the discount amount is dollars.
Find the price after the 15% discount
Subtract the discount from the original price:
So, after the 15% discount, the laptop costs dollars.
Apply the $60 coupon to the discounted price
Now the shopper uses a coupon that takes an additional $60 off the discounted price of .
Subtract $60 from :
So the final price the shopper pays for the laptop is $960.