document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #824278 by greenestamps(13198) $\"\"$ $\"About$

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\n" ); document.write( "3/4 of the money is invested at 9% and 1/4 at 6%. The average percentage yield is then

\n" ); document.write( " $\"%283%2F4%29%289%29%2B%281%2F4%29%286%29=33%2F4\"$

\n" ); document.write( "The total interest on the total amount x was Php 3300:

\n" ); document.write( "(33/4)% of x = 3300
\n" ); document.write( "(33/400)x = 3300
\n" ); document.write( "x = 3300(400/33) = 400*100 = 40000

\n" ); document.write( "The total invested was Php 40,000.

\n" ); document.write( "ANSWERS:
\n" ); document.write( "amount invested at 9% = 3/4 of Php 40,000 = Php 30,000
\n" ); document.write( "amount invested at 6% = 1/4 of Php 40,000 = Php 10,000

\n" ); document.write( "CHECK: .09(30,000)+.06(10,000) = 2700+600 = 3300

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