ail bought a desktop computer and a laptop computer. Before finance charges, the laptop cost US$250 less than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year were US$300. How much did each computer cost before finance charges?
Question
ail bought a desktop computer and a laptop computer. Before finance charges, the laptop cost US300. How much did each computer cost before finance charges?
Solution 1
Let's denote the cost of the desktop computer as and the cost of the laptop computer as .
According to the problem, the laptop cost $250 less than the desktop:
The interest rate for the desktop is 9% per year, and for the laptop, it is 6% per year. The total finance charges for one year were $300. Therefore, we can write the equation for the total finance charges as:
Now, substitute the expression for from the first equation into the second equation:
Distribute the 0.06:
Combine like terms:
Add 15 to both sides of the equation:
Divide both sides by 0.15:
Now, substitute back into the equation :
Therefore, the cost of the desktop computer before finance charges is 1850.
Solution 2
Let's denote the cost of the desktop computer as and the cost of the laptop computer as .
According to the problem, the laptop cost $250 less than the desktop:
The interest rate for the desktop is 9% per year, and for the laptop, it is 6% per year. The total finance charges for one year were $300. Therefore, we can write the following equation for the total finance charges:
Now, substitute from the first equation into the second equation:
Simplify the equation:
Add 15 to both sides of the equation:
Divide both sides by 0.15:
Now, substitute back into the first equation to find :
Therefore, the cost of the desktop computer before finance charges was 1850.
Similar Questions
Amy buys a new computer for her studies for $1500. She receives consumer surplus of $250 from the purchase. How much does Amy value her computer? A. $1250 B. $1750 C. $1500 D. $250
A computer system bought by a business costs $3450.If the business can depreciate the computer by 50% the first year and then 40% of the remaining value the second year, how much is the computer worth at the end of two years?
To purchase $13,200 worth of machinery for her business, Lashonda made a down payment of $1400 and took out a business loan for the rest. After 3 years of paying monthly payments of $358.99, she finally paid off the loan.(a) What was the total amount Lashonda ended up paying for the machinery (including the down payment and monthly payments)?$(b) How much interest did Lashonda pay on the loan?
Haysville Secondary School is buying new desks for their students. Each desk costs $76.25. If the school buys 250 of these desks, how much money do they spend?
The discount on a new computer was $180$180. This was a discount of 18%18%.Step 2 of 3 : What was the sale price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.Answer
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.