SOLUTION: part of 100,000.00 invested at 5% and the rest at 6%. if the income from both invesment is 5,400.00. how much invested at each rate?

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Question 996107: part of 100,000.00 invested at 5% and the rest at 6%. if the income from both invesment is 5,400.00. how much invested at each rate?
Answer by macston(5194) About Me  (Show Source):
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F=amount at 5%; S=amount at 6%
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F+S=100000
F=100000-S
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0.05F+0.06S=5400
0.05(100000-S)+0.06S=5400
5000-0.05S+0.06S=5400
0.01S=400
S=40000
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F=100000-S=100000-40000=60000
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ANSWER: 60000 was invested at 5% and 40000 was invested at 6%.
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CHECK:
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0.05F+0.06S=5400
0.05(60000)+0.06(40000)=5400
3000+2400=5400
5400=5400