Roger visted a ski and snowboard shop the other day to buy a new snowboard. The store said it was having a sale, today only. 20% off all new 2016 Burton Snowboards. Usually these snowboards cost $300 when they're not on sale. Roger told his friend John they are only $60 today. But John noticed Roger made a mathematical error when calculating his discount. What did Roger do wrong? Use proportions to show his mistake and find the real price of the snowboard.
$60 is the discount, not the price.
Really? That's it?
What would I have to do then to find the price?
sale price = list price - discount
To find out what Roger did wrong, let's use proportions to understand this situation.
We know that the original price of the snowboard is $300. The sale offers a discount of 20% off the original price.
To calculate the discount, we multiply the original price by the discount rate:
Discount = 20% × $300
Discount = (20/100) × $300
Discount = $60
So the discount is $60.
Now, let's find the discounted price using the formula:
Discounted Price = Original Price - Discount
Discounted Price = $300 - $60
Discounted Price = $240
The correct discount price of the snowboard is $240, not $60 as Roger mistakenly mentioned to John.
Roger's mistake was that he miscalculated the discount amount and claimed that the snowboard was only $60, which is the actual discount value, not the final price after the discount.