Question 260867
2/3 of his portfolio invested at 12%, 
1/4 at 15%,
remainder at 6%
annual income = $3,675.
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step 1 - solve for the remainder by first adding fractions as
{{{2/3 + 1/4 + x = 1}}}
{{{11/12 + x = 1}}}
step 2 - subtracting 11/12, we get
{{{x = 1/12}}}
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we have a variation of I = PRT.
{{{3675 = (2/3)p*.12 + (1/4)p*.15 + (1/12)p*.06}}}
step 3 - combine like terms on the right to get
{{{3675 = .1225p}}}
step 4 - divide by .1225 to get
{{{p = 30000}}}
HIs portfolio was valued at $30,000