Question 1192361
.
An investing advisor put 75% of a client's money into a money market fund with a 9% annual simple interest rate. 
The remainder was put into government securities paying 6% annual basic interest. 
If the total yearly interest received is Php 3300, calculate the amount invested in each.
~~~~~~~~~~~~~~~


<pre>
Let x be the total money invested amount.

Then 0.75x is invested at 9% and 0.25x is invested at 6%.


Write the total interest equation

    0.09*(0.75x) + 0.06*(0.25x) = 3300


From this equation find x

    x = {{{3300/(0.09*0.75 + 0.06*0.25)}}} = 40000.


So, 0.75*40000 = Php 30000 was invested at 9% and the rest, Php 10000 was invested at 6%.    <U>ANSWER</U>


<U>CHECK</U>.  0.09*30000 + 0.06*10000 = 3300,  the total annual interest.   ! Correct !
</pre>

Solved.