SOLUTION: Suki Hiroshi has made investment of $2500 at an annual simple rate of 7%. How much money does she have invested at an annual simple rate of 11% if the total interest earned is 9% o

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Question 909285: Suki Hiroshi has made investment of $2500 at an annual simple rate of 7%. How much money does she have invested at an annual simple rate of 11% if the total interest earned is 9% of the total investment?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested at 11% simple interest
The total interest earned is:
+.07%2A2500+%2B+.11x+
---------------------
given:
+.07%2A2500+%2B+.11x+=+.09%2A%28+2500+%2B+x+%29+
+175+%2B+.11x+=+225+%2B+.09x+
+.02x+=+50+
+x+=+2500+
The amount invested at 11%
simple interest is $2,500
check:
+.07%2A2500+%2B+.11%2A2500+=+.09%2A%28+2500+%2B+2500+%29+
+175+%2B+275+=+.09%2A5000+
+450+=+450+
OK