Question 4·Easy·Percentages
A jacket originally costs $60 and is discounted by 25%. What is the sale price of the jacket after the discount?
(Express the answer as an integer)
For percent discount problems, quickly translate the percent to a decimal (like ). Either (1) multiply the original price by the percent to find the discount and subtract it from the original price, or (2) find the remaining percent (like ) and multiply the original price by that single decimal. Choose whichever feels faster to you, and be sure you're subtracting for discounts, not adding.
Hints
What does a 25% discount do to the price?
A discount makes the price go down. Think about how you can represent "25% off" using the original price of $60.
Convert the percent to a number you can multiply
Write as a decimal or a fraction (for example, or ) and multiply it by to find how many dollars are taken off.
After finding the discount, what next?
Once you know how many dollars are taken off the jacket, combine that with the original price using addition or subtraction to get the final sale price.
Desmos Guide
Use Desmos to compute the sale price
In Desmos, type either 60-0.25*60 or 60*(1-0.25) and press Enter. The value that Desmos outputs is the sale price of the jacket after the 25% discount.
Step-by-step Explanation
Interpret the discount
A 25% discount means the price is reduced by of the original price. So you need to find of and then subtract that from .
Find 25% of 60
Convert to a decimal: .
Now multiply to find the discount amount:
.
So the discount is $15 off the original price.
Subtract the discount from the original price
Subtract the discount from the original price:
.
So, the sale price of the jacket is $45.