Two stores carry a similar stereo for the same original price of $573. One store offers a 16% discount and the second store sells the stereo for $458.40. Which store gives the bigger percent discount? Justify your answer.
(573 - 458.4) / 573 = 0.2
What do i do next?
573-458.4 / 573= 20%
20% of 458.40 = 91.68.
The second store is cheaper.
481.32..
I believe the second store it cheaper?
0.2 is a 20% discount, so ...
The second store will be cheaper? So it will be 91 dollars
Next, you need to compare the percentage discount offered by the two stores.
To do this, you can calculate the percentage discount offered by the first store by subtracting the discounted price from the original price, and then dividing that by the original price.
Percentage discount = (Original price - Discounted price) / Original price
Let's calculate the percentage discount offered by the first store:
Percentage discount = (573 - 458.4) / 573 = 114.6 / 573 = 0.2 = 20%
Hence, the first store offers a 20% discount.
Now, let's compare this with the second store, which sells the stereo for $458.40. Since they don't provide the original price or the discount percentage, we can calculate the discount percentage using the discounted price and the original price.
Discount percentage = (Original Price - Discounted Price) / Original Price
We can rearrange this formula to solve for the original price:
Original Price = Discounted Price / (1 - Discount Percentage)
Let's plug in the values:
Original Price = 458.40 / (1 - 0.20) = 458.40 / 0.80 = 573
So, the original price is $573.
Since the second store sells the stereo for the same original price of $573, there is no discount offered by the second store. Therefore, the first store gives the bigger percent discount at 20%.