SOLUTION: Betty invested some money at 9% interest. Betty also invested $190 more than 2 times that amount at 12%. How much is invested at each rate if Betty receives $652.77 in interest aft

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Question 905731: Betty invested some money at 9% interest. Betty also invested $190 more than 2 times that amount at 12%. How much is invested at each rate if Betty receives $652.77 in interest after one year? (Round to two decimal places if necessary.)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
0.09*x+0.12*(2x+190)=652.77
0.09*x+0.24x+.12*190=652.77
0.33x+.12*190=652.77
0.33x+22.8=652.77
0.33x=652.77-22.8
0.33x=629.97
x=629.97/0.33
x=1909
check
0.09*1909+0.12*(2*1909+190)=652.77
171.81+0.12**4008=652.77
171.81+480.96=652.77
652.77 =652.77
ok