SOLUTION: Kira bought a desktop computer and a laptop computer. before finance charges, the laptop cost $200 less than the desktop. she paid for the computer using two different financing pl
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Question 1168681: Kira bought a desktop computer and a laptop computer. before finance charges, the laptop cost $200 less than the desktop. she paid for the computer using two different financing plans. for the desktop the interest rate was 9% per year, and for the laptop it was 7% per year the total finance charges for one year were $306 how much did each computer cost before finance charges? Found 2 solutions by Theo, ikleyn:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! let x equal the price of the laptop.
let y = the price of the desktop.
since the desktop costs 200 more than the laptop, you get:
y = x+200
the laptop charges .07 interest rate and the desktop charges .09 interest rate.
the total interest is 306.
your equation is:
.07*x + .09*y = 306
since y = x+200, the equation becomes:
.07*x + .09*(x+200) = 306
simplify to get:
.07*x + .09*x + 18 = 306
subtract 18 from both sides of the equation and simplify to get:
.16*x = 288.
solve for x to get:
x = 288/.16 = 1800.
solve for y to get:
y = x+200 = 2000
.07*1800 + .09*2000 = 306
this confirms the solution is good.
the solution is that the laptop costs 1800 and the desktop costs 2000.
Let x be the price for the desktop comp (before financial charges)
Then the price for the laptop is (x-200) dollars, according the condition.
Now you write the TOTAL financial charges equation
0.09*x + 0.07*(x-200) = 306 dollars.
From the equation
x = = 2000 dollars.
ANSWER. $2000 for the desktop comp and $1800 for the laptop.
