SOLUTION: joan had $1000 to invest. she invested part of the money in a COD that paid 4% annual simple interest, and the remainder in a mutual fund that paid 8% annual simple interest. the t

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: joan had $1000 to invest. she invested part of the money in a COD that paid 4% annual simple interest, and the remainder in a mutual fund that paid 8% annual simple interest. the t      Log On

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Question 317349: joan had $1000 to invest. she invested part of the money in a COD that paid 4% annual simple interest, and the remainder in a mutual fund that paid 8% annual simple interest. the totsl interest of investments was $68.00. How much did Joan invest in each?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount in the COD, B in the mutual fund.
1.A%2BB=1000
.
.
0.04A%2B0.08B=68
2.4A%2B8B=6800
Multiply eq. 1 by -4 and add to eq. 2,
-4A-4B%2B4A%2B8B=-4000%2B6800
4B=2800
highlight%28B=700%29
Then from eq. 1,
A%2B700=1000
highlight%28A=300%29