SOLUTION: I'm having a bit of trouble with this problem. Please help me solve this equation: Mischa invests $20,000 into two accounts paying 7% and 9% annual simple interest respectively.

Question 971339: I'm having a bit of trouble with this problem. Please help me solve this equation:
Mischa invests $20,000 into two accounts paying 7% and 9% annual simple interest respectively. If the total interest earned for the year is $1,550, how much was invested at each rate?
Thank You.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Mischa invests $ into two accounts paying % and % annual simple interest respectively.
in account paying %= Mischa invests $
and in account paying %= Mischa invests $

if Mischa invests $ and earned in interest, we have
............eq.1
......eq.2=> both side multiply by
---------------------------------------
............eq.1=> both side multiply by
......eq.2
---------------------------
............eq.1=> both side multiply by
......eq.2
------------------------------subtract eq.1 from eq.2

now, find
............eq.1

so, Mischa invests in account paying % , and in account paying %
check if % of and % of equal to earning in interest
% of is
% of is
then which confirms our solution

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