SOLUTION: Aaron invested equal amounts of money at 5%,7%,9%, and 11% annual interest. if the four investments yielded a total of $1440 annual interest, find the total amount invested.

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Question 1108100: Aaron invested equal amounts of money at 5%,7%,9%, and 11% annual interest. if the four investments yielded a total of $1440 annual interest, find the total amount invested.
Answer by ikleyn(52943) About Me  (Show Source):
You can put this solution on YOUR website!
.
0.05*x + 0.07*x + 0.09*x + 0.11*x = 1440   (where x is equal amount of each of the four investments).


0.32x = 1440  ====>  x = 1440%2F0.32 = 4500.


4 (four) investments of $4500 each.  The total is 4 times $4500,  or  $18000.


Check.  (0.5 + 0.07 + 0.09 + 0.11)*4500 = 1440.   ! Correct !