SOLUTION: A college student earned $8100 during summer vacation working as a waiter in a popular resturant. The student invested part of the money at 8% and the rest at 6&.If the student rec

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Question 419114: A college student earned $8100 during summer vacation working as a waiter in a popular resturant. The student invested part of the money at 8% and the rest at 6&.If the student received a total of $564 in interest at the end of the year, how much was invested at 8%?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=8100 ------------------------1
8.00%x +6.00%y=$564.00
Multiply by 100
8x+6y=$56,400.00 --------2

Multiply (1) by -8
we get
-8x-8y= -64800

Add this to (2)

-2y= -$8,400.00

divide by -2

y=$4,200.00 investment at 6.00%
Balance $3,900.00 investment at 8.00%