SOLUTION: Joan Arlington has twice as much money invested at​ 5% simple annual interest as she does at​ 4%. If her yearly income from the two investments is ​$364​, how much does sh

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Question 1137199: Joan Arlington has twice as much money invested at​ 5% simple annual interest as she does at​ 4%. If her yearly income from the two investments is ​$364​, how much does she have at each​ rate?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x= amount invested at 4%.


Then the total interest equation is


0.05*(2x) + 0.04*x = 364


0.1x + 0.04x = 364


0.14x = 364  ==========>  x = 364%2F0.14 = 2600.


ANSWER.  $2600 invested at 4%;  Twice of it,  $5200 invested at 5%.


CHECK.   0.04*2600 + 0.05*5200 = $364.   ! Correct !

Solved.