word problem

5400 is invested: part of it at 12% and part of it is 9%. For a certain year, the total yield is $576.00. How was invested at each rate?
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1 Answer

5400$...get 576$ interest

576 / 5400=0.1066666666666... or 10.6666666666%

9*x +(1-x)*12=10.666666666

9x -12x+12=10.66666666

-3x=10.6666666666 -12.....=-1.333333333, so x=1.333333333/3=0.444444444444...

or (4/9) at 9% & (5/9) at 12%
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