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

Question 654958: A man invests 1/3 of his capital at 3% and the remainder at 4%. What is his capital if his total income is 44,000?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Let .
After changing the interest rate percentages to their equivalents,
we can write the equation that relates the interest earned on each of the two
invested amounts to the total interest earned.
.... simplify and solve for

... add the fractions on the left side
.... multiply both sides by
.... now divide both sides by

The answer is: the man invested capital in amount of $

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