SOLUTION: kristen has a total of $1000 to invest. she put parts of it in an account paying 4% interest/year and the rest in bond paying 6.5% interest. if she has $50 in simple interest at th

Question 1068523: kristen has a total of $1000 to invest. she put parts of it in an account paying 4% interest/year and the rest in bond paying 6.5% interest. if she has $50 in simple interest at the end of the year, how much was invested at each rate?
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
Multiply eq. 1 by 4 and subtract from eq. 2,

Now solve for B.
Then use either equation to solve for A.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This looks like a simple interest problem
I can use:
where
= interest after years
= amount invested
= interest rate
= years invested
------------------------------------------------

(1)
(1)
and

(2)
-------------------------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and
(2)
(2)
(2)
-----------------------
(1)
(1)
(1)
and

-----------------------
$600 was invested @ 4%
$400 was invested @ 6.5%
------------------------
check:

and

OK

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