24. 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. ( 4 points)

573 * 0.84 = ?

481.32 I think

So is it the second one? and i need the work :/

You're right. Obviously, $458 is a much better price than $481

To compare the percent discounts offered by each store, we need to calculate the discount amount from the original price in both cases.

Let's start with the first store. We are given that the original price is $573, and it offers a 16% discount. To calculate the discount amount, we multiply the original price by the discount percentage:

Discount amount = Original price * Discount percentage
= $573 * 0.16
= $91.68

Now, let's move to the second store. Here, the stereo is sold for $458.40. The difference between the original price and the sale price represents the discount amount:

Discount amount = Original price - Sale price
= $573 - $458.40
= $114.60

Now, to determine which store gives the bigger percent discount, we need to calculate the percent discount for each store. To find the percent discount, we divide the discount amount by the original price and multiply by 100:

Percent discount = (Discount amount / Original price) * 100

For the first store:
Percent discount = ($91.68 / $573) * 100
≈ 16.01%

For the second store:
Percent discount = ($114.60 / $573) * 100
≈ 20.00%

Comparing the percent discounts, we can see that the second store gives a bigger discount of approximately 20.00%. Therefore, the second store offers the larger percentage discount.