SOLUTION: This one confuses me, please help! If a person invests $12,000at 5% how much must be invested at 9% to yield an over all return of 8% ?

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Question 110199: This one confuses me, please help!
If a person invests $12,000at 5% how much must be invested at 9% to yield an over all return of 8% ?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If a person invests $12,000 at 5% how much must be invested at 9% to yield an over all return of 8% ?
:
Let x = the amt to be invested at 9%
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Think of it this way:
5% of 12000 + 9% of x = 8% of 12000+x
:
.05(12000) + .09x = .08(12000 + x)
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Multiply what's inside the brackets:
600 + .09x = 960 + .08x
:
.09x - .08x = 960 - 600
:
.01x = 360
:
x = 360%2F.01
:
x = $36,000 has to be invested at 9%
:
:
Check solution
.05(12000) + .09(36000) =
600 + 3240 = 3840
:
.08(12000 + 36000) =
.08 * 48000 = 3840 also which confirms our solution
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Did this un-confuse you somewhat?