SOLUTION: a college student earned $8900 during the summer. the student invested part of the money at 9% and the rest at 6% if the student received a total of $654 in intrest at the end of

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Question 1004029: a college student earned $8900 during the summer. the student invested part of the money at 9% and the rest at 6% if the student received a total of $654 in intrest at the end of the year, how much was invested at 9%
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
He has invested x money at 9%. And, he has invested the rest, meaning 8,900-x at 6%. In equation form:
.09x+.06(8,900-x)= 654 Now just do the math:
.09x+524-.06x= 654
.03x= 120
x= 4,000 This is how much he invested at 9%. And:
8,900-4,000= 4,900 is how much he invested at 6%.
Proof:
4,000*.09= 360
4,900*.06= 294
_ _ _ _ _ _------
Total......654 We have the correct answer