SOLUTION: Cynthia invested 3 times as much money at 6% as at 5%. If the total of the simple interest for 1 year is at least 1150 dollars, what is the least possible amount Cynthia has invest

Question 219145: Cynthia invested 3 times as much money at 6% as at 5%. If the total of the simple interest for 1 year is at least 1150 dollars, what is the least possible amount Cynthia has invested at 5%??????????????????????????????
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
.06*3x+.05x>1150
.18x+.05x>1150
.23x>1150
x>1150/.23
x=5,000 amount invested @ 5%/
2*5,000=10,000 amount invested @ 6%.
Proof:
.06*10,000+.05*5,000>1150
600+250>1150
1150=1150

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