Question 321649
Let D = cost of the desktop
Let L = cost of the laptop
L = D + 1000


Total interest rate paid for one year was 638.75


That interest rate was composed of D * .05 + L * .095


Formula is .05*D + .095*L = 638.75


Since L = D + 1000, this formula becomes:


.05*D + .095*(D + 1000) = 638.75


Simplify this to get:


.05*D + .095*D + .095*1000 = 638.75


Combine like terms and simplify further to get:


.145*D + 95 = 638.75


Subtract 9 from both sides of this equation to get:


.145*D = 543.75.


Divide both sides by .145 to get:


D = 3750
L = D + 1000 = 4750


.05 * D + .95 * L = 638.75


.05 * 3750 + .095 * 4750 = 638.75 confirming the values are good.


Your answer is that the price of the desktop computer before finance charges is $3750.00