SOLUTION: susan has 5000 to invest. she wants to invest part in an account that pays 8% interest and part in an account that pays 5% interest. How much should she invest at 5% so that the to

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Question 998521: susan has 5000 to invest. she wants to invest part in an account that pays 8% interest and part in an account that pays 5% interest. How much should she invest at 5% so that the total investment earns 7% interest
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call what she invests at 8%, x. Then what she invests at 5% will be 5000-x.
The setup looks like this:
.08x + .05(5000-x) = .07(5000)
If you want multiply by 100 to clear decimals
8x + 5(5000-x) = 7(5000)
8x + 25000 - 5x = 35000
3x = 10000
x = $3333.33 at 8% with the remainder, $1666.67 at 5%.