Dan is looking for the best deal on a laptop that regularly costs
$859
. Help him compare the price of the laptop at a store with the price on the store's website by completing the following.
(a) The store's website is offering the laptop at a
40%
discount off the regular price. Ignoring tax and shipping, how much would he pay for the laptop on the store's website?
$
(b) The store is having a sale, offering a
30%
discount off the regular price of the laptop. Dan also has an in-store-only coupon for an additional
10%
off the sale price. Ignoring tax, how much would he pay for the laptop at the store?
$
(c) Select the true statement.
Dan would pay less for the laptop on the website.
Dan would pay less for the laptop at the store.
Dan would pay the same amount at the store and on the website.
(a) The laptop on the store's website would cost $515.40 (40% off the regular price of $859).
(b) The laptop at the store would cost $525.08 (30% off the regular price of $859 is $601.30, then an additional 10% off is $60.13, making the final price $541.17 before tax).
(c) Dan would pay less for the laptop on the website. ($515.40 < $525.08)
(a) The store's website is offering a 40% discount off the regular price. To calculate the price Dan would pay on the website, we can multiply the regular price by the discount rate:
Price on website = Regular price * (1 - discount rate)
Price on website = $859 * (1 - 0.40) = $859 * 0.60 = $515.40
So, Dan would pay $515.40 for the laptop on the store's website.
(b) The store is offering a 30% discount off the regular price of the laptop. Dan also has a coupon for an additional 10% off the sale price. To calculate the price Dan would pay at the store, we can first calculate the sale price, and then apply the additional coupon discount:
Sale price = Regular price * (1 - discount rate)
Sale price = $859 * (1 - 0.30) = $859 * 0.70 = $601.30
Price with additional coupon discount = Sale price * (1 - coupon discount rate)
Price with additional coupon discount = $601.30 * (1 - 0.10) = $601.30 * 0.90 = $541.17
So, Dan would pay $541.17 for the laptop at the store.
(c) Based on the calculations from (a) and (b), we can see that Dan would pay less for the laptop on the website compared to the price at the store. Therefore, the true statement is:
Dan would pay less for the laptop on the website.