SOLUTION: A man invested half his money at 5%, 1/3 of his money at 4% and the rest at 3.5%. If his total income is $795 how much had he invested?

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Question 926516: A man invested half his money at 5%, 1/3 of his money at 4% and the rest at 3.5%. If his total income is $795 how much had he invested?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +P+ = his investment
His return from 5% investment is:
+%281%2F2%29%2AP%2A.05+
------------------------
His return from 4% investment is:
+%281%2F3%29%2AP%2A.04+
--------------------------
His return from 3.5% investment is:
+%281%2F6%29%2AP%2A.035+
-----------------
+%281%2F2%29%2AP%2A.05+%2B+%281%2F3%29%2AP%2A.04+%2B+%281%2F6%29%2AP%2A.035++=+795+
Multiply both sides by +6+
+.15P+%2B+.08P+%2B+.035P+=+4770+
+.265P+=+4770+
+P+=+18000+
$18.000 was his investment