SOLUTION: Sonya inherited $ 35,000. She invested some of the money at 2.5% simple interest and the rest at 3.5% simple interest. In the first year, she earned $ 1,075 interest. How many

Algebra ->  Finance -> SOLUTION: Sonya inherited $ 35,000. She invested some of the money at 2.5% simple interest and the rest at 3.5% simple interest. In the first year, she earned $ 1,075 interest. How many      Log On


   

Question 728604:
Sonya inherited $ 35,000. She invested some of the money at 2.5% simple interest and the rest at 3.5% simple interest. In the first year, she earned $ 1,075 interest. How many dollard did she earn form her investment at 3.5% interest ?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
.035X+.025(35,000-X)=1.075
.035X+875-.025X=1.075
.010X=1,075-875
.010X=200
X=200/.010
X=20,000 AMOUNT INVESTED @ 3.5%.
35,000-20,000=15,000 AMOUNT INVESTED @ 2.5%.PROOF:
.035*20,000+.025*15,000=1,075
700+375=1,075
1,075=1,075