SOLUTION: Aleksandra Tomich invested $10,000 part at 9% simple interest and part at 3% simple interest for a period of 1 year. How much did she invest at each rate if each account earned th

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Question 1164249: Aleksandra Tomich invested $10,000 part at 9% simple interest and part at 3% simple interest for a period of 1 year. How much did she invest at each rate if each account earned the same​ interest?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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We know two key circumstances: the ratio of the rates is 0.09%2F0.03 = 3  and the earned interests are the same.


It means that the 3% amount is three times as big as the 9% account.


So, let the accounts are x and 3x, respectively.


Then x + 3x = 10000  dollars,  hence,  x is $2500.


ANSWER.  $2500 invested at 9% and the rest,  $7500, is invested at 3%.

Solved.