SOLUTION: a man has $34,000 to invest. He invests some at 5%, the balance at 4%. his annual investment interest income is $1,545. how much does he invest at each rate?

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Question 266486: a man has $34,000 to invest. He invests some at 5%, the balance at 4%. his annual investment interest income is $1,545. how much does he invest at each rate?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
A+B=34000
.05A+.04B=1545
A=34000-B
%28.05%29%2834000-B%29%2B.04B=1545
1700-.05B%2B.04B=1545
1700-.01B=1545
1700-.01B-1700=1545-1700
-.01B=-155
B=155%2F.01
B=15500investment at 4%
________________
A=34000-B
A=34000-15500
A=18500investment at 5%
_________________
Check
.05A%2B.04B=1545
.05%2818500%29%2B.04%2815500%29=1545
925%2B620=1545
1545=1545
correct