SOLUTION: The total return from $10,000 and $28,000 was $1,750. If his investment were interchanged the total return will be $1,480. what are the rates of return of each investment?

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Question 838169: The total return from $10,000 and $28,000 was $1,750. If his investment were interchanged the total return will be $1,480. what are the rates of return of each investment?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the original rates of return be
+a%2F100+ for the $10,000 investment
and +b%2F100+ for the $28,000 investment
( this will give your answers directly in percent )
-------------------
You are given that:
(1) +%28a%2F100%29%2A10000+%2B+%28b%2F100%29%2A28000+=+1750+
(2) +%28b%2F100%29%2A10000+%2B+%28a%2F100%29%2A28000+=+1480+
--------------------------------------------------
(1) +100a+%2B+280b+=+1750+
(2) +100b+%2B+280a+=+1480+
-------------------------------
(1) +10a+%2B+28b+=+175+
(2) +28a+%2B+10b+=+148+
----------------------------
Solve for a and b
I can't find my calculator