SOLUTION: A total of $8,500 was invested in three interest earning accounts. The interest rates were 2%, 3%, and 6%. If the total simple interest for one year was $380 and the amount investe

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Question 1068201: A total of $8,500 was invested in three interest earning accounts. The interest rates were 2%, 3%, and 6%. If the total simple interest for one year was $380 and the amount invested at 6% was equal to the sum of the amounts in the other two accounts, then how much was invested in each account?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB%2BC=8500
2.%282%2F100%29A%2B%283%2F100%29B%2B%286%2F100%29C=380
3.C=A%2BB
From 2,
2A%2B3B%2B6C=38000
Substituting from 3,
2A%2B3B%2B6A%2B6B=38000
4.8A%2B9B=38000
Substituting from 3 into 1,
A%2BB%2BA%2BB=8500
2A%2B2B=8500
5.8A%2B8B=34000
Now subtract 5 from 4,
8A%2B9B-8A-8B=38000-34000
B=4000
Then,
2A%2B2%284000%29=8500
2A=500
A=250
and
C=A%2BB
C=250%2B4000
C=4250