SOLUTION: You have $10,000 to invest. Some was invested at 6% and the other at 11% for one year. If you made $800, how much was invested at each percentage?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: You have $10,000 to invest. Some was invested at 6% and the other at 11% for one year. If you made $800, how much was invested at each percentage?      Log On


   



Question 346112: You have $10,000 to invest. Some was invested at 6% and the other at 11% for one year. If you made $800, how much was invested at each percentage?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount at 6%, B the amount at 11%.
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1.A%2BB=10000
2.6A%2B11B=80000
Multiply eq. 1 by (-6) and add to eq. 2,
-6A-6B%2B6A%2B11B=-60000%2B80000
5B=20000
highlight%28+B=4000%29
Then from eq. 1,
A%2B4000=10000
highlight%28A=6000%29
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$6000 at 6% and $4000 at 11%.