SOLUTION: Fran received $113 per year in simple interest from investing $1300.00 Part is invested at 7% and part at 8% and part at 9%. There is 800 more invested at 9% than 8%. Find the amou

Question 267227: Fran received $113 per year in simple interest from investing $1300.00 Part is invested at 7% and part at 8% and part at 9%. There is 800 more invested at 9% than 8%. Find the amount invested at 9%.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = amount invested @ 7%
Let = amount invested @ 8%
Let = amount invested @ 9%
given:
(1)
(2)
(3)
---------------------
Multiply both sides of (2) by
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

And from (3):

By substitution:

$1000 was invested @ 9%
check answer:

and

OK

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