Question 234392:  A student took out two loans totaling $10,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 10%. After one year, the student owed $840 in interest. Find the amount of the loan at 10%. 
 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! A student took out two loans totaling $10,000 to help pay for college expenses. One loan was at 8% simple interest, and the other was at 10%. After one year, the student owed $840 in interest. Find the amount of the loan at 10%. 
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Interest Equation: 0.10x + 0.08(10,000-x) = 840 
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Multiply thru by 100 to get: 
10x + 8*10,000 - 8x = 84000 
2x = 4000 
x = $2000 (amount invested at 10%) 
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Cheers, 
Stan H. 
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