SOLUTION: Can you please help me explin the process in coming up with this equation as I need to explain it to the professor Thank you .11x+.09(6000-x)=624 .11x+540-.09x=624 .02x=624-5

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Question 142526This question is from textbook Survey of Math w/ Apllications
: Can you please help me explin the process in coming up with this equation as I need to explain it to the professor
Thank you
.11x+.09(6000-x)=624
.11x+540-.09x=624
.02x=624-540
.02x=84
x=84/.02
x=4200 invested @ 11%
6000-4200=1800 amount invested @ 9%
Proof:
.11*4200+.09*1800=624
462+162=624
624=624

 This question is from textbook Survey of Math w/ Apllications

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
.11x+.09(6000-x)=624
Comment: "x" amount of money was invested at 11% and "6000-x"
amount of money was invested at 9%, resulting in $624 of interest
earnings.
------------------------
.11x+540-.09x=624
Comment: The equaion was simplified
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.02x=624-540
Comment: More simplifying
------------
.02x=84
Comment: More
-------------
x=84/.02
Comment: More
x=4200 invested @ 11%
Comment: "x" was the amount invested at 11%
----------------------
6000-4200=1800 amount invested @ 9%
Comment: "6000-x" was the amount invested at 9%
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Cheeers,
Stan H.