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Brian budgeted $1,000.00 for a new computer. 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 Desktop Computer
15% discount on all laptop computers priced greater than $1,000 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.

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Answer:

$935.00 is the price of the laptop with the discount. (Brian can afford)

Step-by-step explanation:

15% is 10% + 5% (or 0.15 = 0.1 + 0.05, dividing each percent by 100). Thinking about it this way is useful for two reasons. First, it's easy to multiply any number by 0.1; just move the decimal point left by one digit. For example, 75.00 x 0.1 = 7.50, or 346.43 x 0.1 = 34.64 (close enough).Second, 5% is exactly half of 10%. So here's how this quick and easy method works: Take the total cost of your computer, $1,100.00 and multiply it by 0.1 by sliding the decimal to the left one digit to get $110.00 (you can do this in your head at the table). $110.00 is 10% of your discount price. But the discount is 15% (you need to throw in another 5%).

The additional 5% is just half of the 10% amount. What is half of $110.00? Half is $55. (Finding half of a number is also something you can do in your head at the table.) So, the total discount is the 10% amount PLUS the 5% amount (for a 15% discount) or $110.00 + $55 = $165. Now take the price of the computer and subtract the discount from the price... ($1,100.00 - $165.00 = $935.00) that's the price of the laptop with the discount.

-- Credit Webmath for the outline

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

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