SOLUTION: Nico is saving money for his college education. He invest some money at 5%, and $2300 less than that amount at 3%. The investments produced a total of $163 interest in 1yr. How muc

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Nico is saving money for his college education. He invest some money at 5%, and $2300 less than that amount at 3%. The investments produced a total of $163 interest in 1yr. How muc      Log On

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Question 1110071: Nico is saving money for his college education. He invest some money at 5%, and $2300 less than that amount at 3%. The investments produced a total of $163 interest in 1yr. How much did he invest at each rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use +I+=+P%2Ar%2At+
+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+
+I%5B1%5D+=+P%5B1%5D%2A.05%2A1+
(1) +I%5B1%5D+=+.05%2AP%5B1%5D+
--------------------------------
+163+-+I%5B1%5D+=+%28+P%5B1%5D+-+2300+%29%2A.03%2A1+
+163+-+I%5B1%5D+=+.03P%5B1%5D+-+69+
(2) +I%5B1%5D+=+-.03P%5B1%5D+%2B+232+
------------------------------------
Set (1) = (2)
+.05P%5B1%5D+=+-.03P+%2B+232+
+.08P%5B1%5D+=+232+
+P%5B1%5D+=+2900+
and
+P%5B1%5D+-+2300+=+2900+-+2300+
+P%5B1%5D+-+2300+=+600+
------------------------------------
He invested $2,900 @ 5%
He invested $600 @ 3%
---------------------------------
check:
+I%5B1%5D+=+.05%2AP%5B1%5D+
+I%5B1%5D+=+.05%2A2900+
+I%5B1%5D+=+145+
and
+163+-+I%5B1%5D+=+.03P%5B1%5D+-+69+
+163+-+I%5B1%5D+=+.03%2A2900+-+69+
+163+-+I%5B1%5D+=+87+-+69+
+i%5B1%5D+=+163+-+87+%2B+69+
+I%5B1%5D+=+145+
OK