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| Question 31778This question is from textbook
 :  Please help me with this interest problem!  I'm desperate and thankyou upfront
 A realtor borrowed $90,000to develop some property.  He was able to borrow part of the money at 11.5% interest and the rest at 12%.  The annual interest on the two loans amounts to $10,525.  How much was borrowed at each rate? 
This question is from textbook
 
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! Let amount invested at 11.5% be "x". Then amount invested at 12% must be "90000-x"
 Interest on 11.5% investment is 11.5%(x)=0.115x
 Interest on 12% investment is 12%(90000-x)=10800-0.12x
 EQUATION:
 Interest + Interest = $10525
 0.115x+10800-0.12x=10525
 Mutiply by 1000 to get rid of the decimals:
 115x + 10800000=120x=10525000
 -5x=-275000
 x=$55,000 (amount invested at 11.5%)
 90,000-55,000= $35,000 (amount invested at 12%)
 Cheers,
 Stan H.
 
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