SOLUTION: Things did not go quite as planned. You invested ​$21, 360​, part of it in a stock that paid​ 12% annual interest.​ However, the rest of the money suffered

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Question 1122814: Things did not go quite as planned. You invested ​$21, 360​, part of it in a stock that paid​ 12% annual interest.​ However, the rest of the money suffered a​ 5% loss. If the total annual income from both investments was ​$1992​, how much was invested at each​ rate?
Answer by ikleyn(52899) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the amount invested at 12%.

Then the rest amount is (21360-x) dollars.


The 12% stock earning is 0.12x dollars.


The rest amount loss  is 0.05*(21360-x) dollars.


Your equation is

interest - loss            = total interest,    or

0.12x     - 0.05*(21360-x) = 1992    dollars.


Simplify and solve for x.