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Rita bought a desktop computer and a laptop computer. Before finances charges, the laptop cost $250 less than the desktop. she paid for the computer using two different financing plans. For the desktop the internet rate was 7% per year, and for the laptop it was 8% year. the total finance charges for one year were $325.how much did each computer cost before finances changes?desktop:___$laptop:___$

Answer :

let 'x' be the cost of the desktop computer, then the cost for the laptop is x - 250.

Since the financing plans are 7% per year for the desktop pc and 8% per year for the laptop, and the total finance for one youear was $325, we have the following equation:

[tex]\begin{gathered} 0.07x+0.08(x-250)=325 \\ \Rightarrow0.07x+0.08x-20=325 \\ \Rightarrow0.15x=325+20=345 \\ \Rightarrow x=\frac{345}{0.15}=2300 \\ x=2300 \\ x-250=2300-250=2050 \end{gathered}[/tex]

therefore, the price for the desktop computer is $2300 and the price for the laptop is $2050

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