Question 1170746
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<pre>

Let x = CDs

Then bonds = (x+10000),

     stocks = 175000-x-(x+10000) = 165000-2x.



The total interest equation is

    0.0525x + 0.049*(x+10000) + 0.102*(165000-2x) = 12707.50  dollars.


From this equation,


    x = {{{(12707.50 - 0.049*10000 - 0.102*165000)/(0.0525 + 0.049 - 0.102*2)}}} = 45000.



<U>ANSWER</U>.  $45000 in CDs;  $45000 + $10000 = $55000 in bonds; and the rest  175000 - 45000 - 55000 = 75000   dollars in stocks.



<U>CHECK</U>.  0.0525*45000 + 0.049*55000 + 0.102*75000 = 12707.50  dollars the total interest.  ! Precisely correct !
</pre>

Solved.


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The amazing and unexpected fact is that problem is solved using only one single unknown and one equation.