Brian budgeted $1,000.00 for a new computer. Will give and extra points

He is shopping at an electronics store that is advertising a sale on all laptop and desktop computers. The store is offering the following discounts:

Laptop Computer: 15% discount on all laptop computers priced greater than $1,000 Desktop Computer: 25% discount on all desktop computers priced greater than $1,200

Brian finds two computers that he is interested in purchasing- a laptop computer with an original price of $1,100.00, and a desktop computer with an original price of $1,365.00. Use the store’s advertised discounts to determine which computer Brian can afford to purchase today. In your final answer, include all of your calculations.

Brian can purchase the laptop, but not the desktop computer

Step-by-step explanation:

Percentages

We'll evaluate two options for Brian's purchase of a new computer. The first option is to purchase a laptop with a price of $1,100. The laptops have a 15% discount. Let's compute the price of the laptop after the discount is applied:

Original price: 1,100

Discount: 15% = 15*1,100/100=165

Final price: $935

With a budget of $1,000, Brian can purchase the laptop.

Now we'll analyze the option of purchasing the desktop computer valued at $1,365 with a discount of 25%:

Original price: 1,365

Discount: 25% = 25*1,365/100=341.25

Final price: $1023.75

With a budget of $1,000, Brian cannot purchase the desktop computer.

Brian can purchase the laptop, but not the desktop computer

Brian's budget = 1,000.00

Therefore, Brian could only afford the Laptop.

Laptop = $935.00

Desktop = $1,023.75

Step-by-step explanation:

Formula:

discount amount      discount

=

 original price              100%

Laptop computer:

discount amount = x

original price = $1,100.00

discount% = 15%

x/1,100 = 15/100

x ⋅ 100 = 15 ⋅ 1,100 (cross multiply)

100x = 16,500

100x/100 = 16,500/100

x = 165

Desktop computer:

discount amount = x

original price = $1,365.00

discount% = 25%

x/1,365 = 25/100

x ⋅ 100 = 25 ⋅ 1,365

100x = 34,125

100x/100 = 34,125/100

x = 341.25

Formula:

Sale price = original $ - discount $

Laptop = $1,100.00 - $165.00 = $935.00

Desktop = $1,365.00 - $341.25 = $1,023.75

step-by-step explanation: