SOLUTION: A man invests 1/3 of his capital at 3% and the remainder at 4%. What is the capital if his total income is 44 000?

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Question 507837: A man invests 1/3 of his capital at 3% and the remainder at 4%. What is the capital if his total income is 44 000?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = his capital
given:
income from investments:
44000+=++.03%2A%28x%2F3%29+%2B+.04%2A%282x%2F3%29+
+44000+=+.01x+%2B+.08x%2F3+
Multiply both sides by 3
+132000+=+.03x+%2B+.08x+
+.11x+=+132000+
+x+=+1200000+
His capital was $ 1.2 million