Hi,

Dana borrowed $8000. 

Let x represent the amount at 14% and (8000-x) represent the amount at 5%

She borrowed part(x) of the money from a bank that charged 14% /a interest.

She borrowed the remainder(8000-x) from her uncle who charged her 5% /a interest

After 1 year Dana needed a total of $8850 to repay both loans. 



    850 = .14x + 400 - .05x

      450 = .09x

    450/.09 = x = $5000, the amount at 14% , the amount at 5% = $3000  

Wish You the Best in your Studies.

 

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