SOLUTION: Question: Mrs. Mayor invested $1400.00, part at 5% and part at 8%. Her total annual income from her investment was $100.00. Find the amount she invested in both. I AM TRYING TO

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Question: Mrs. Mayor invested $1400.00, part at 5% and part at 8%. Her total annual income from her investment was $100.00. Find the amount she invested in both. I AM TRYING TO      Log On

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Question 845684: Question: Mrs. Mayor invested $1400.00, part at 5% and part at 8%. Her total annual income from her investment was $100.00. Find the amount she invested in both.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Mrs. Mayor invested $1400.00, +highlight_green%28x%29at 5% and +highlight_green%28y%29 at 8%

Note: x + y = $1400    0r    x =( $1400-y)

Question states***total annual income from her investment was $100.00.

 .05($1400-y) + .08y = $100

  .05($1400) - .05y + .08y = $100

     $70 + .03y = $100

           .03y = $30

              y = $1000, amount invested at 8%.  Amount at 5% was $400   

1400-1000

CHECKING our answer***

  .05•($400) + .08•($1000) = $20 + $80 = 100